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Finding the Third Proportional to 402,730 and 940,585

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Solution

The third proportional to 402,730 and 940,585 is: 2,196,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,730 : 940,585 = 940,585 : x
  2. Step 2: Convert to fraction form
    402,730/940,585 = 940,585/x
  3. Step 3: Cross multiply
    402,730x = 940,585 × 940,585
  4. Step 4: Simplify right side
    402,730x = 884,700,142,225
  5. Step 5: Solve for x
    x = 884,700,142,225/402,730
  6. Step 6: Final answer
    x = 2,196,757.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.