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Finding the Third Proportional to 242,022 and 532,300

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Solution

The third proportional to 242,022 and 532,300 is: 1,170,733.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,022 : 532,300 = 532,300 : x
  2. Step 2: Convert to fraction form
    242,022/532,300 = 532,300/x
  3. Step 3: Cross multiply
    242,022x = 532,300 × 532,300
  4. Step 4: Simplify right side
    242,022x = 283,343,290,000
  5. Step 5: Solve for x
    x = 283,343,290,000/242,022
  6. Step 6: Final answer
    x = 1,170,733.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.