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Finding the Third Proportional to 480,904 and 747,608

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Solution

The third proportional to 480,904 and 747,608 is: 1,162,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,904 : 747,608 = 747,608 : x
  2. Step 2: Convert to fraction form
    480,904/747,608 = 747,608/x
  3. Step 3: Cross multiply
    480,904x = 747,608 × 747,608
  4. Step 4: Simplify right side
    480,904x = 558,917,721,664
  5. Step 5: Solve for x
    x = 558,917,721,664/480,904
  6. Step 6: Final answer
    x = 1,162,223.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.