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Finding the Third Proportional to 247,510 and 508,142

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Solution

The third proportional to 247,510 and 508,142 is: 1,043,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,510 : 508,142 = 508,142 : x
  2. Step 2: Convert to fraction form
    247,510/508,142 = 508,142/x
  3. Step 3: Cross multiply
    247,510x = 508,142 × 508,142
  4. Step 4: Simplify right side
    247,510x = 258,208,292,164
  5. Step 5: Solve for x
    x = 258,208,292,164/247,510
  6. Step 6: Final answer
    x = 1,043,223.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.