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Finding the Third Proportional to 621,705 and 928,706

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Solution

The third proportional to 621,705 and 928,706 is: 1,387,305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,705 : 928,706 = 928,706 : x
  2. Step 2: Convert to fraction form
    621,705/928,706 = 928,706/x
  3. Step 3: Cross multiply
    621,705x = 928,706 × 928,706
  4. Step 4: Simplify right side
    621,705x = 862,494,834,436
  5. Step 5: Solve for x
    x = 862,494,834,436/621,705
  6. Step 6: Final answer
    x = 1,387,305.61

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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.