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Finding the Third Proportional to 478,740.38 and 728,058.38

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Solution

The third proportional to 478,740.38 and 728,058.38 is: 1,107,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,740.38 : 728,058.38 = 728,058.38 : x
  2. Step 2: Convert to fraction form
    478,740.38/728,058.38 = 728,058.38/x
  3. Step 3: Cross multiply
    478,740.38x = 728,058.38 × 728,058.38
  4. Step 4: Simplify right side
    478,740.38x = 530,068,997,407.64
  5. Step 5: Solve for x
    x = 530,068,997,407.64/478,740.38
  6. Step 6: Final answer
    x = 1,107,215.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.