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Finding the Third Proportional to 402,481 and 838,033

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Solution

The third proportional to 402,481 and 838,033 is: 1,744,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,481 : 838,033 = 838,033 : x
  2. Step 2: Convert to fraction form
    402,481/838,033 = 838,033/x
  3. Step 3: Cross multiply
    402,481x = 838,033 × 838,033
  4. Step 4: Simplify right side
    402,481x = 702,299,309,089
  5. Step 5: Solve for x
    x = 702,299,309,089/402,481
  6. Step 6: Final answer
    x = 1,744,925.37

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.