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Finding the Third Proportional to 464,793.75 and 714,654

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Solution

The third proportional to 464,793.75 and 714,654 is: 1,098,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,793.75 : 714,654 = 714,654 : x
  2. Step 2: Convert to fraction form
    464,793.75/714,654 = 714,654/x
  3. Step 3: Cross multiply
    464,793.75x = 714,654 × 714,654
  4. Step 4: Simplify right side
    464,793.75x = 510,730,339,716
  5. Step 5: Solve for x
    x = 510,730,339,716/464,793.75
  6. Step 6: Final answer
    x = 1,098,832.20

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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.