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Finding the Third Proportional to 480,464 and 753,696

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Solution

The third proportional to 480,464 and 753,696 is: 1,182,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,464 : 753,696 = 753,696 : x
  2. Step 2: Convert to fraction form
    480,464/753,696 = 753,696/x
  3. Step 3: Cross multiply
    480,464x = 753,696 × 753,696
  4. Step 4: Simplify right side
    480,464x = 568,057,660,416
  5. Step 5: Solve for x
    x = 568,057,660,416/480,464
  6. Step 6: Final answer
    x = 1,182,310.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.