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Finding the Third Proportional to 227,712 and 486,952.50

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Solution

The third proportional to 227,712 and 486,952.50 is: 1,041,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,712 : 486,952.50 = 486,952.50 : x
  2. Step 2: Convert to fraction form
    227,712/486,952.50 = 486,952.50/x
  3. Step 3: Cross multiply
    227,712x = 486,952.50 × 486,952.50
  4. Step 4: Simplify right side
    227,712x = 237,122,737,256.25
  5. Step 5: Solve for x
    x = 237,122,737,256.25/227,712
  6. Step 6: Final answer
    x = 1,041,327.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.