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Finding the Third Proportional to 360,156 and 781,359

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Solution

The third proportional to 360,156 and 781,359 is: 1,695,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,156 : 781,359 = 781,359 : x
  2. Step 2: Convert to fraction form
    360,156/781,359 = 781,359/x
  3. Step 3: Cross multiply
    360,156x = 781,359 × 781,359
  4. Step 4: Simplify right side
    360,156x = 610,521,886,881
  5. Step 5: Solve for x
    x = 610,521,886,881/360,156
  6. Step 6: Final answer
    x = 1,695,159.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.