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Finding the Third Proportional to 233,810 and 506,968

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Solution

The third proportional to 233,810 and 506,968 is: 1,099,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,810 : 506,968 = 506,968 : x
  2. Step 2: Convert to fraction form
    233,810/506,968 = 506,968/x
  3. Step 3: Cross multiply
    233,810x = 506,968 × 506,968
  4. Step 4: Simplify right side
    233,810x = 257,016,553,024
  5. Step 5: Solve for x
    x = 257,016,553,024/233,810
  6. Step 6: Final answer
    x = 1,099,253.89

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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.