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Finding the Third Proportional to 369,695 and 756,909

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Solution

The third proportional to 369,695 and 756,909 is: 1,549,686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,695 : 756,909 = 756,909 : x
  2. Step 2: Convert to fraction form
    369,695/756,909 = 756,909/x
  3. Step 3: Cross multiply
    369,695x = 756,909 × 756,909
  4. Step 4: Simplify right side
    369,695x = 572,911,234,281
  5. Step 5: Solve for x
    x = 572,911,234,281/369,695
  6. Step 6: Final answer
    x = 1,549,686.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.