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Finding the Third Proportional to 304,750 and 464,860

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Solution

The third proportional to 304,750 and 464,860 is: 709,088.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,750 : 464,860 = 464,860 : x
  2. Step 2: Convert to fraction form
    304,750/464,860 = 464,860/x
  3. Step 3: Cross multiply
    304,750x = 464,860 × 464,860
  4. Step 4: Simplify right side
    304,750x = 216,094,819,600
  5. Step 5: Solve for x
    x = 216,094,819,600/304,750
  6. Step 6: Final answer
    x = 709,088.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.