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Finding the Third Proportional to 369,612 and 791,712

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Solution

The third proportional to 369,612 and 791,712 is: 1,695,853.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,612 : 791,712 = 791,712 : x
  2. Step 2: Convert to fraction form
    369,612/791,712 = 791,712/x
  3. Step 3: Cross multiply
    369,612x = 791,712 × 791,712
  4. Step 4: Simplify right side
    369,612x = 626,807,890,944
  5. Step 5: Solve for x
    x = 626,807,890,944/369,612
  6. Step 6: Final answer
    x = 1,695,853.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.