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Finding the Third Proportional to 497,304 and 788,662

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Solution

The third proportional to 497,304 and 788,662 is: 1,250,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,304 : 788,662 = 788,662 : x
  2. Step 2: Convert to fraction form
    497,304/788,662 = 788,662/x
  3. Step 3: Cross multiply
    497,304x = 788,662 × 788,662
  4. Step 4: Simplify right side
    497,304x = 621,987,750,244
  5. Step 5: Solve for x
    x = 621,987,750,244/497,304
  6. Step 6: Final answer
    x = 1,250,719.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.