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Finding the Third Proportional to 349,241.63 and 748,303.31

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Solution

The third proportional to 349,241.63 and 748,303.31 is: 1,603,353.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,241.63 : 748,303.31 = 748,303.31 : x
  2. Step 2: Convert to fraction form
    349,241.63/748,303.31 = 748,303.31/x
  3. Step 3: Cross multiply
    349,241.63x = 748,303.31 × 748,303.31
  4. Step 4: Simplify right side
    349,241.63x = 559,957,847,498.47
  5. Step 5: Solve for x
    x = 559,957,847,498.47/349,241.63
  6. Step 6: Final answer
    x = 1,603,353.69

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