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Finding the Third Proportional to 662,544 and 882,720

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Solution

The third proportional to 662,544 and 882,720 is: 1,176,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,544 : 882,720 = 882,720 : x
  2. Step 2: Convert to fraction form
    662,544/882,720 = 882,720/x
  3. Step 3: Cross multiply
    662,544x = 882,720 × 882,720
  4. Step 4: Simplify right side
    662,544x = 779,194,598,400
  5. Step 5: Solve for x
    x = 779,194,598,400/662,544
  6. Step 6: Final answer
    x = 1,176,064.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.