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Finding the Third Proportional to 391,691 and 528,484.50

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Solution

The third proportional to 391,691 and 528,484.50 is: 713,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,691 : 528,484.50 = 528,484.50 : x
  2. Step 2: Convert to fraction form
    391,691/528,484.50 = 528,484.50/x
  3. Step 3: Cross multiply
    391,691x = 528,484.50 × 528,484.50
  4. Step 4: Simplify right side
    391,691x = 279,295,866,740.25
  5. Step 5: Solve for x
    x = 279,295,866,740.25/391,691
  6. Step 6: Final answer
    x = 713,051.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.