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Finding the Third Proportional to 398,559 and 592,192.50

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Solution

The third proportional to 398,559 and 592,192.50 is: 879,899.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,559 : 592,192.50 = 592,192.50 : x
  2. Step 2: Convert to fraction form
    398,559/592,192.50 = 592,192.50/x
  3. Step 3: Cross multiply
    398,559x = 592,192.50 × 592,192.50
  4. Step 4: Simplify right side
    398,559x = 350,691,957,056.25
  5. Step 5: Solve for x
    x = 350,691,957,056.25/398,559
  6. Step 6: Final answer
    x = 879,899.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.