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Finding the Third Proportional to 632,920 and 845,475

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Solution

The third proportional to 632,920 and 845,475 is: 1,129,412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,920 : 845,475 = 845,475 : x
  2. Step 2: Convert to fraction form
    632,920/845,475 = 845,475/x
  3. Step 3: Cross multiply
    632,920x = 845,475 × 845,475
  4. Step 4: Simplify right side
    632,920x = 714,827,975,625
  5. Step 5: Solve for x
    x = 714,827,975,625/632,920
  6. Step 6: Final answer
    x = 1,129,412.84

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.