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Finding the Third Proportional to 472,692 and 709,384

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Solution

The third proportional to 472,692 and 709,384 is: 1,064,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,692 : 709,384 = 709,384 : x
  2. Step 2: Convert to fraction form
    472,692/709,384 = 709,384/x
  3. Step 3: Cross multiply
    472,692x = 709,384 × 709,384
  4. Step 4: Simplify right side
    472,692x = 503,225,659,456
  5. Step 5: Solve for x
    x = 503,225,659,456/472,692
  6. Step 6: Final answer
    x = 1,064,595.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.