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Finding the Third Proportional to 411,301.13 and 619,818.75

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Solution

The third proportional to 411,301.13 and 619,818.75 is: 934,048.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,301.13 : 619,818.75 = 619,818.75 : x
  2. Step 2: Convert to fraction form
    411,301.13/619,818.75 = 619,818.75/x
  3. Step 3: Cross multiply
    411,301.13x = 619,818.75 × 619,818.75
  4. Step 4: Simplify right side
    411,301.13x = 384,175,282,851.56
  5. Step 5: Solve for x
    x = 384,175,282,851.56/411,301.13
  6. Step 6: Final answer
    x = 934,048.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.