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Finding the Third Proportional to 233,656 and 506,677

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Solution

The third proportional to 233,656 and 506,677 is: 1,098,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,656 : 506,677 = 506,677 : x
  2. Step 2: Convert to fraction form
    233,656/506,677 = 506,677/x
  3. Step 3: Cross multiply
    233,656x = 506,677 × 506,677
  4. Step 4: Simplify right side
    233,656x = 256,721,582,329
  5. Step 5: Solve for x
    x = 256,721,582,329/233,656
  6. Step 6: Final answer
    x = 1,098,715.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.