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Finding the Third Proportional to 488,834 and 715,750

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Solution

The third proportional to 488,834 and 715,750 is: 1,048,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,834 : 715,750 = 715,750 : x
  2. Step 2: Convert to fraction form
    488,834/715,750 = 715,750/x
  3. Step 3: Cross multiply
    488,834x = 715,750 × 715,750
  4. Step 4: Simplify right side
    488,834x = 512,298,062,500
  5. Step 5: Solve for x
    x = 512,298,062,500/488,834
  6. Step 6: Final answer
    x = 1,048,000.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.