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Finding the Third Proportional to 349,741.13 and 556,149.38

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Solution

The third proportional to 349,741.13 and 556,149.38 is: 884,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,741.13 : 556,149.38 = 556,149.38 : x
  2. Step 2: Convert to fraction form
    349,741.13/556,149.38 = 556,149.38/x
  3. Step 3: Cross multiply
    349,741.13x = 556,149.38 × 556,149.38
  4. Step 4: Simplify right side
    349,741.13x = 309,302,127,312.89
  5. Step 5: Solve for x
    x = 309,302,127,312.89/349,741.13
  6. Step 6: Final answer
    x = 884,374.49

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.