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Finding the Third Proportional to 241,432.50 and 519,681

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Solution

The third proportional to 241,432.50 and 519,681 is: 1,118,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,432.50 : 519,681 = 519,681 : x
  2. Step 2: Convert to fraction form
    241,432.50/519,681 = 519,681/x
  3. Step 3: Cross multiply
    241,432.50x = 519,681 × 519,681
  4. Step 4: Simplify right side
    241,432.50x = 270,068,341,761
  5. Step 5: Solve for x
    x = 270,068,341,761/241,432.50
  6. Step 6: Final answer
    x = 1,118,608.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.