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Finding the Third Proportional to 472,664 and 709,343

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Solution

The third proportional to 472,664 and 709,343 is: 1,064,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,664 : 709,343 = 709,343 : x
  2. Step 2: Convert to fraction form
    472,664/709,343 = 709,343/x
  3. Step 3: Cross multiply
    472,664x = 709,343 × 709,343
  4. Step 4: Simplify right side
    472,664x = 503,167,491,649
  5. Step 5: Solve for x
    x = 503,167,491,649/472,664
  6. Step 6: Final answer
    x = 1,064,535.25

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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.