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Finding the Third Proportional to 234,290 and 510,988

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Solution

The third proportional to 234,290 and 510,988 is: 1,114,468.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,290 : 510,988 = 510,988 : x
  2. Step 2: Convert to fraction form
    234,290/510,988 = 510,988/x
  3. Step 3: Cross multiply
    234,290x = 510,988 × 510,988
  4. Step 4: Simplify right side
    234,290x = 261,108,736,144
  5. Step 5: Solve for x
    x = 261,108,736,144/234,290
  6. Step 6: Final answer
    x = 1,114,468.12

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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.