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Finding the Third Proportional to 654,486.75 and 960,184.13

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Solution

The third proportional to 654,486.75 and 960,184.13 is: 1,408,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,486.75 : 960,184.13 = 960,184.13 : x
  2. Step 2: Convert to fraction form
    654,486.75/960,184.13 = 960,184.13/x
  3. Step 3: Cross multiply
    654,486.75x = 960,184.13 × 960,184.13
  4. Step 4: Simplify right side
    654,486.75x = 921,953,553,902.02
  5. Step 5: Solve for x
    x = 921,953,553,902.02/654,486.75
  6. Step 6: Final answer
    x = 1,408,666.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.