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Finding the Third Proportional to 261,921 and 571,819.50

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Solution

The third proportional to 261,921 and 571,819.50 is: 1,248,382.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,921 : 571,819.50 = 571,819.50 : x
  2. Step 2: Convert to fraction form
    261,921/571,819.50 = 571,819.50/x
  3. Step 3: Cross multiply
    261,921x = 571,819.50 × 571,819.50
  4. Step 4: Simplify right side
    261,921x = 326,977,540,580.25
  5. Step 5: Solve for x
    x = 326,977,540,580.25/261,921
  6. Step 6: Final answer
    x = 1,248,382.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.