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Finding the Third Proportional to 349,654 and 741,140

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Solution

The third proportional to 349,654 and 741,140 is: 1,570,948.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,654 : 741,140 = 741,140 : x
  2. Step 2: Convert to fraction form
    349,654/741,140 = 741,140/x
  3. Step 3: Cross multiply
    349,654x = 741,140 × 741,140
  4. Step 4: Simplify right side
    349,654x = 549,288,499,600
  5. Step 5: Solve for x
    x = 549,288,499,600/349,654
  6. Step 6: Final answer
    x = 1,570,948.71

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.