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Finding the Third Proportional to 391,281 and 524,104.50

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Solution

The third proportional to 391,281 and 524,104.50 is: 702,016.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,281 : 524,104.50 = 524,104.50 : x
  2. Step 2: Convert to fraction form
    391,281/524,104.50 = 524,104.50/x
  3. Step 3: Cross multiply
    391,281x = 524,104.50 × 524,104.50
  4. Step 4: Simplify right side
    391,281x = 274,685,526,920.25
  5. Step 5: Solve for x
    x = 274,685,526,920.25/391,281
  6. Step 6: Final answer
    x = 702,016.01

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.