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Finding the Third Proportional to 349,741.13 and 627,513.75

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Solution

The third proportional to 349,741.13 and 627,513.75 is: 1,125,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,741.13 : 627,513.75 = 627,513.75 : x
  2. Step 2: Convert to fraction form
    349,741.13/627,513.75 = 627,513.75/x
  3. Step 3: Cross multiply
    349,741.13x = 627,513.75 × 627,513.75
  4. Step 4: Simplify right side
    349,741.13x = 393,773,506,439.06
  5. Step 5: Solve for x
    x = 393,773,506,439.06/349,741.13
  6. Step 6: Final answer
    x = 1,125,899.93

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.