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Finding the Third Proportional to 690,420 and 932,796

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Solution

The third proportional to 690,420 and 932,796 is: 1,260,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,420 : 932,796 = 932,796 : x
  2. Step 2: Convert to fraction form
    690,420/932,796 = 932,796/x
  3. Step 3: Cross multiply
    690,420x = 932,796 × 932,796
  4. Step 4: Simplify right side
    690,420x = 870,108,377,616
  5. Step 5: Solve for x
    x = 870,108,377,616/690,420
  6. Step 6: Final answer
    x = 1,260,259.52

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.