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Finding the Third Proportional to 496,464 and 767,160

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Solution

The third proportional to 496,464 and 767,160 is: 1,185,452.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,464 : 767,160 = 767,160 : x
  2. Step 2: Convert to fraction form
    496,464/767,160 = 767,160/x
  3. Step 3: Cross multiply
    496,464x = 767,160 × 767,160
  4. Step 4: Simplify right side
    496,464x = 588,534,465,600
  5. Step 5: Solve for x
    x = 588,534,465,600/496,464
  6. Step 6: Final answer
    x = 1,185,452.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.