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Finding the Third Proportional to 243,470 and 531,226

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Solution

The third proportional to 243,470 and 531,226 is: 1,159,079.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,470 : 531,226 = 531,226 : x
  2. Step 2: Convert to fraction form
    243,470/531,226 = 531,226/x
  3. Step 3: Cross multiply
    243,470x = 531,226 × 531,226
  4. Step 4: Simplify right side
    243,470x = 282,201,063,076
  5. Step 5: Solve for x
    x = 282,201,063,076/243,470
  6. Step 6: Final answer
    x = 1,159,079.41

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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.