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Finding the Third Proportional to 610,258.43 and 1,329,006.87

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Solution

The third proportional to 610,258.43 and 1,329,006.87 is: 2,894,280.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,258.43 : 1,329,006.87 = 1,329,006.87 : x
  2. Step 2: Convert to fraction form
    610,258.43/1,329,006.87 = 1,329,006.87/x
  3. Step 3: Cross multiply
    610,258.43x = 1,329,006.87 × 1,329,006.87
  4. Step 4: Simplify right side
    610,258.43x = 1,766,259,253,031.53
  5. Step 5: Solve for x
    x = 1,766,259,253,031.53/610,258.43
  6. Step 6: Final answer
    x = 2,894,280.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.