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Finding the Third Proportional to 233,683 and 506,732

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Solution

The third proportional to 233,683 and 506,732 is: 1,098,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,683 : 506,732 = 506,732 : x
  2. Step 2: Convert to fraction form
    233,683/506,732 = 506,732/x
  3. Step 3: Cross multiply
    233,683x = 506,732 × 506,732
  4. Step 4: Simplify right side
    233,683x = 256,777,319,824
  5. Step 5: Solve for x
    x = 256,777,319,824/233,683
  6. Step 6: Final answer
    x = 1,098,827.56

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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.