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Finding the Third Proportional to 710,113.50 and 998,822

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Solution

The third proportional to 710,113.50 and 998,822 is: 1,404,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,113.50 : 998,822 = 998,822 : x
  2. Step 2: Convert to fraction form
    710,113.50/998,822 = 998,822/x
  3. Step 3: Cross multiply
    710,113.50x = 998,822 × 998,822
  4. Step 4: Simplify right side
    710,113.50x = 997,645,387,684
  5. Step 5: Solve for x
    x = 997,645,387,684/710,113.50
  6. Step 6: Final answer
    x = 1,404,909.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.