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Finding the Third Proportional to 349,214.63 and 748,234.13

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Solution

The third proportional to 349,214.63 and 748,234.13 is: 1,603,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,214.63 : 748,234.13 = 748,234.13 : x
  2. Step 2: Convert to fraction form
    349,214.63/748,234.13 = 748,234.13/x
  3. Step 3: Cross multiply
    349,214.63x = 748,234.13 × 748,234.13
  4. Step 4: Simplify right side
    349,214.63x = 559,854,305,814.52
  5. Step 5: Solve for x
    x = 559,854,305,814.52/349,214.63
  6. Step 6: Final answer
    x = 1,603,181.15

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.