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Finding the Third Proportional to 306,001.50 and 465,744

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Solution

The third proportional to 306,001.50 and 465,744 is: 708,877.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,001.50 : 465,744 = 465,744 : x
  2. Step 2: Convert to fraction form
    306,001.50/465,744 = 465,744/x
  3. Step 3: Cross multiply
    306,001.50x = 465,744 × 465,744
  4. Step 4: Simplify right side
    306,001.50x = 216,917,473,536
  5. Step 5: Solve for x
    x = 216,917,473,536/306,001.50
  6. Step 6: Final answer
    x = 708,877.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.