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Finding the Third Proportional to 242,514 and 566,487

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Solution

The third proportional to 242,514 and 566,487 is: 1,323,253.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,514 : 566,487 = 566,487 : x
  2. Step 2: Convert to fraction form
    242,514/566,487 = 566,487/x
  3. Step 3: Cross multiply
    242,514x = 566,487 × 566,487
  4. Step 4: Simplify right side
    242,514x = 320,907,521,169
  5. Step 5: Solve for x
    x = 320,907,521,169/242,514
  6. Step 6: Final answer
    x = 1,323,253.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.