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Finding the Third Proportional to 187,484 and 412,488.50

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Solution

The third proportional to 187,484 and 412,488.50 is: 907,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,484 : 412,488.50 = 412,488.50 : x
  2. Step 2: Convert to fraction form
    187,484/412,488.50 = 412,488.50/x
  3. Step 3: Cross multiply
    187,484x = 412,488.50 × 412,488.50
  4. Step 4: Simplify right side
    187,484x = 170,146,762,632.25
  5. Step 5: Solve for x
    x = 170,146,762,632.25/187,484
  6. Step 6: Final answer
    x = 907,526.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.