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Finding the Third Proportional to 234,707 and 506,825

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Solution

The third proportional to 234,707 and 506,825 is: 1,094,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,707 : 506,825 = 506,825 : x
  2. Step 2: Convert to fraction form
    234,707/506,825 = 506,825/x
  3. Step 3: Cross multiply
    234,707x = 506,825 × 506,825
  4. Step 4: Simplify right side
    234,707x = 256,871,580,625
  5. Step 5: Solve for x
    x = 256,871,580,625/234,707
  6. Step 6: Final answer
    x = 1,094,435.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.