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Finding the Third Proportional to 472,779 and 709,650

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Solution

The third proportional to 472,779 and 709,650 is: 1,065,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,779 : 709,650 = 709,650 : x
  2. Step 2: Convert to fraction form
    472,779/709,650 = 709,650/x
  3. Step 3: Cross multiply
    472,779x = 709,650 × 709,650
  4. Step 4: Simplify right side
    472,779x = 503,603,122,500
  5. Step 5: Solve for x
    x = 503,603,122,500/472,779
  6. Step 6: Final answer
    x = 1,065,197.74

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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.