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Finding the Third Proportional to 449,097.75 and 714,943.13

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Solution

The third proportional to 449,097.75 and 714,943.13 is: 1,138,156.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,097.75 : 714,943.13 = 714,943.13 : x
  2. Step 2: Convert to fraction form
    449,097.75/714,943.13 = 714,943.13/x
  3. Step 3: Cross multiply
    449,097.75x = 714,943.13 × 714,943.13
  4. Step 4: Simplify right side
    449,097.75x = 511,143,671,984.77
  5. Step 5: Solve for x
    x = 511,143,671,984.77/449,097.75
  6. Step 6: Final answer
    x = 1,138,156.83

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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.