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Finding the Third Proportional to 231,712 and 506,000

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Solution

The third proportional to 231,712 and 506,000 is: 1,104,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,712 : 506,000 = 506,000 : x
  2. Step 2: Convert to fraction form
    231,712/506,000 = 506,000/x
  3. Step 3: Cross multiply
    231,712x = 506,000 × 506,000
  4. Step 4: Simplify right side
    231,712x = 256,036,000,000
  5. Step 5: Solve for x
    x = 256,036,000,000/231,712
  6. Step 6: Final answer
    x = 1,104,975.14

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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.