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Finding the Third Proportional to 242,514 and 529,080

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Solution

The third proportional to 242,514 and 529,080 is: 1,154,265.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,514 : 529,080 = 529,080 : x
  2. Step 2: Convert to fraction form
    242,514/529,080 = 529,080/x
  3. Step 3: Cross multiply
    242,514x = 529,080 × 529,080
  4. Step 4: Simplify right side
    242,514x = 279,925,646,400
  5. Step 5: Solve for x
    x = 279,925,646,400/242,514
  6. Step 6: Final answer
    x = 1,154,265.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.