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Finding the Third Proportional to 234,565 and 514,800

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Solution

The third proportional to 234,565 and 514,800 is: 1,129,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,565 : 514,800 = 514,800 : x
  2. Step 2: Convert to fraction form
    234,565/514,800 = 514,800/x
  3. Step 3: Cross multiply
    234,565x = 514,800 × 514,800
  4. Step 4: Simplify right side
    234,565x = 265,019,040,000
  5. Step 5: Solve for x
    x = 265,019,040,000/234,565
  6. Step 6: Final answer
    x = 1,129,831.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.