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Finding the Third Proportional to 402,130.50 and 866,044.50

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Solution

The third proportional to 402,130.50 and 866,044.50 is: 1,865,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,130.50 : 866,044.50 = 866,044.50 : x
  2. Step 2: Convert to fraction form
    402,130.50/866,044.50 = 866,044.50/x
  3. Step 3: Cross multiply
    402,130.50x = 866,044.50 × 866,044.50
  4. Step 4: Simplify right side
    402,130.50x = 750,033,075,980.25
  5. Step 5: Solve for x
    x = 750,033,075,980.25/402,130.50
  6. Step 6: Final answer
    x = 1,865,148.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.