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Finding the Third Proportional to 473,493 and 710,787

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Solution

The third proportional to 473,493 and 710,787 is: 1,067,002.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,493 : 710,787 = 710,787 : x
  2. Step 2: Convert to fraction form
    473,493/710,787 = 710,787/x
  3. Step 3: Cross multiply
    473,493x = 710,787 × 710,787
  4. Step 4: Simplify right side
    473,493x = 505,218,159,369
  5. Step 5: Solve for x
    x = 505,218,159,369/473,493
  6. Step 6: Final answer
    x = 1,067,002.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.