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Finding the Third Proportional to 480,798 and 747,432

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Solution

The third proportional to 480,798 and 747,432 is: 1,161,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,798 : 747,432 = 747,432 : x
  2. Step 2: Convert to fraction form
    480,798/747,432 = 747,432/x
  3. Step 3: Cross multiply
    480,798x = 747,432 × 747,432
  4. Step 4: Simplify right side
    480,798x = 558,654,594,624
  5. Step 5: Solve for x
    x = 558,654,594,624/480,798
  6. Step 6: Final answer
    x = 1,161,932.03

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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.