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Finding the Third Proportional to 473,713 and 728,141

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Solution

The third proportional to 473,713 and 728,141 is: 1,119,220.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,713 : 728,141 = 728,141 : x
  2. Step 2: Convert to fraction form
    473,713/728,141 = 728,141/x
  3. Step 3: Cross multiply
    473,713x = 728,141 × 728,141
  4. Step 4: Simplify right side
    473,713x = 530,189,315,881
  5. Step 5: Solve for x
    x = 530,189,315,881/473,713
  6. Step 6: Final answer
    x = 1,119,220.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.