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Finding the Third Proportional to 498,533.48 and 725,998.57

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Solution

The third proportional to 498,533.48 and 725,998.57 is: 1,057,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,533.48 : 725,998.57 = 725,998.57 : x
  2. Step 2: Convert to fraction form
    498,533.48/725,998.57 = 725,998.57/x
  3. Step 3: Cross multiply
    498,533.48x = 725,998.57 × 725,998.57
  4. Step 4: Simplify right side
    498,533.48x = 527,073,924,095.79
  5. Step 5: Solve for x
    x = 527,073,924,095.79/498,533.48
  6. Step 6: Final answer
    x = 1,057,248.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.