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Finding the Third Proportional to 252,391 and 539,800.50

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Solution

The third proportional to 252,391 and 539,800.50 is: 1,154,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,391 : 539,800.50 = 539,800.50 : x
  2. Step 2: Convert to fraction form
    252,391/539,800.50 = 539,800.50/x
  3. Step 3: Cross multiply
    252,391x = 539,800.50 × 539,800.50
  4. Step 4: Simplify right side
    252,391x = 291,384,579,800.25
  5. Step 5: Solve for x
    x = 291,384,579,800.25/252,391
  6. Step 6: Final answer
    x = 1,154,496.71

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