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Finding the Third Proportional to 497,306 and 788,665

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Solution

The third proportional to 497,306 and 788,665 is: 1,250,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,306 : 788,665 = 788,665 : x
  2. Step 2: Convert to fraction form
    497,306/788,665 = 788,665/x
  3. Step 3: Cross multiply
    497,306x = 788,665 × 788,665
  4. Step 4: Simplify right side
    497,306x = 621,992,482,225
  5. Step 5: Solve for x
    x = 621,992,482,225/497,306
  6. Step 6: Final answer
    x = 1,250,723.86

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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.