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Finding the Third Proportional to 606,448.27 and 717,165.14

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Solution

The third proportional to 606,448.27 and 717,165.14 is: 848,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,448.27 : 717,165.14 = 717,165.14 : x
  2. Step 2: Convert to fraction form
    606,448.27/717,165.14 = 717,165.14/x
  3. Step 3: Cross multiply
    606,448.27x = 717,165.14 × 717,165.14
  4. Step 4: Simplify right side
    606,448.27x = 514,325,838,927.68
  5. Step 5: Solve for x
    x = 514,325,838,927.68/606,448.27
  6. Step 6: Final answer
    x = 848,095.16

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.