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Finding the Third Proportional to 240,594 and 487,018.50

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Solution

The third proportional to 240,594 and 487,018.50 is: 985,839.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,594 : 487,018.50 = 487,018.50 : x
  2. Step 2: Convert to fraction form
    240,594/487,018.50 = 487,018.50/x
  3. Step 3: Cross multiply
    240,594x = 487,018.50 × 487,018.50
  4. Step 4: Simplify right side
    240,594x = 237,187,019,342.25
  5. Step 5: Solve for x
    x = 237,187,019,342.25/240,594
  6. Step 6: Final answer
    x = 985,839.30

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.