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Finding the Third Proportional to 237,885.61 and 499,123.90

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Solution

The third proportional to 237,885.61 and 499,123.90 is: 1,047,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,885.61 : 499,123.90 = 499,123.90 : x
  2. Step 2: Convert to fraction form
    237,885.61/499,123.90 = 499,123.90/x
  3. Step 3: Cross multiply
    237,885.61x = 499,123.90 × 499,123.90
  4. Step 4: Simplify right side
    237,885.61x = 249,124,665,991.45
  5. Step 5: Solve for x
    x = 249,124,665,991.45/237,885.61
  6. Step 6: Final answer
    x = 1,047,245.63

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.