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Finding the Third Proportional to 491,119 and 738,506

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Solution

The third proportional to 491,119 and 738,506 is: 1,110,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,119 : 738,506 = 738,506 : x
  2. Step 2: Convert to fraction form
    491,119/738,506 = 738,506/x
  3. Step 3: Cross multiply
    491,119x = 738,506 × 738,506
  4. Step 4: Simplify right side
    491,119x = 545,391,112,036
  5. Step 5: Solve for x
    x = 545,391,112,036/491,119
  6. Step 6: Final answer
    x = 1,110,507.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.