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Finding the Third Proportional to 480,802 and 747,438

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Solution

The third proportional to 480,802 and 747,438 is: 1,161,941.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,802 : 747,438 = 747,438 : x
  2. Step 2: Convert to fraction form
    480,802/747,438 = 747,438/x
  3. Step 3: Cross multiply
    480,802x = 747,438 × 747,438
  4. Step 4: Simplify right side
    480,802x = 558,663,563,844
  5. Step 5: Solve for x
    x = 558,663,563,844/480,802
  6. Step 6: Final answer
    x = 1,161,941.01

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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.