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Finding the Third Proportional to 232,052 and 506,712

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Solution

The third proportional to 232,052 and 506,712 is: 1,106,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,052 : 506,712 = 506,712 : x
  2. Step 2: Convert to fraction form
    232,052/506,712 = 506,712/x
  3. Step 3: Cross multiply
    232,052x = 506,712 × 506,712
  4. Step 4: Simplify right side
    232,052x = 256,757,050,944
  5. Step 5: Solve for x
    x = 256,757,050,944/232,052
  6. Step 6: Final answer
    x = 1,106,463.43

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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.