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Finding the Third Proportional to 232,071 and 506,412

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Solution

The third proportional to 232,071 and 506,412 is: 1,105,063.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,071 : 506,412 = 506,412 : x
  2. Step 2: Convert to fraction form
    232,071/506,412 = 506,412/x
  3. Step 3: Cross multiply
    232,071x = 506,412 × 506,412
  4. Step 4: Simplify right side
    232,071x = 256,453,113,744
  5. Step 5: Solve for x
    x = 256,453,113,744/232,071
  6. Step 6: Final answer
    x = 1,105,063.16

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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.