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Finding the Third Proportional to 350,724.09 and 756,175.92

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Solution

The third proportional to 350,724.09 and 756,175.92 is: 1,630,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,724.09 : 756,175.92 = 756,175.92 : x
  2. Step 2: Convert to fraction form
    350,724.09/756,175.92 = 756,175.92/x
  3. Step 3: Cross multiply
    350,724.09x = 756,175.92 × 756,175.92
  4. Step 4: Simplify right side
    350,724.09x = 571,802,024,823.51
  5. Step 5: Solve for x
    x = 571,802,024,823.51/350,724.09
  6. Step 6: Final answer
    x = 1,630,347.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.