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Finding the Third Proportional to 402,765,878.25 and 601,668,326.25

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Solution

The third proportional to 402,765,878.25 and 601,668,326.25 is: 898,797,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,765,878.25 : 601,668,326.25 = 601,668,326.25 : x
  2. Step 2: Convert to fraction form
    402,765,878.25/601,668,326.25 = 601,668,326.25/x
  3. Step 3: Cross multiply
    402,765,878.25x = 601,668,326.25 × 601,668,326.25
  4. Step 4: Simplify right side
    402,765,878.25x = 362,004,774,812,476,416
  5. Step 5: Solve for x
    x = 362,004,774,812,476,416/402,765,878.25
  6. Step 6: Final answer
    x = 898,797,029.15

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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.