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Finding the Third Proportional to 472,597 and 717,633

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Solution

The third proportional to 472,597 and 717,633 is: 1,089,717.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,597 : 717,633 = 717,633 : x
  2. Step 2: Convert to fraction form
    472,597/717,633 = 717,633/x
  3. Step 3: Cross multiply
    472,597x = 717,633 × 717,633
  4. Step 4: Simplify right side
    472,597x = 514,997,122,689
  5. Step 5: Solve for x
    x = 514,997,122,689/472,597
  6. Step 6: Final answer
    x = 1,089,717.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.