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Finding the Third Proportional to 232,018 and 506,648

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Solution

The third proportional to 232,018 and 506,648 is: 1,106,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,018 : 506,648 = 506,648 : x
  2. Step 2: Convert to fraction form
    232,018/506,648 = 506,648/x
  3. Step 3: Cross multiply
    232,018x = 506,648 × 506,648
  4. Step 4: Simplify right side
    232,018x = 256,692,195,904
  5. Step 5: Solve for x
    x = 256,692,195,904/232,018
  6. Step 6: Final answer
    x = 1,106,346.04

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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.