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Finding the Third Proportional to 402,765,865.50 and 601,668,307.50

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Solution

The third proportional to 402,765,865.50 and 601,668,307.50 is: 898,797,001.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,765,865.50 : 601,668,307.50 = 601,668,307.50 : x
  2. Step 2: Convert to fraction form
    402,765,865.50/601,668,307.50 = 601,668,307.50/x
  3. Step 3: Cross multiply
    402,765,865.50x = 601,668,307.50 × 601,668,307.50
  4. Step 4: Simplify right side
    402,765,865.50x = 362,004,752,249,914,560
  5. Step 5: Solve for x
    x = 362,004,752,249,914,560/402,765,865.50
  6. Step 6: Final answer
    x = 898,797,001.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.