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Finding the Third Proportional to 233,929.27 and 502,801.17

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Solution

The third proportional to 233,929.27 and 502,801.17 is: 1,080,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,929.27 : 502,801.17 = 502,801.17 : x
  2. Step 2: Convert to fraction form
    233,929.27/502,801.17 = 502,801.17/x
  3. Step 3: Cross multiply
    233,929.27x = 502,801.17 × 502,801.17
  4. Step 4: Simplify right side
    233,929.27x = 252,809,018,438.87
  5. Step 5: Solve for x
    x = 252,809,018,438.87/233,929.27
  6. Step 6: Final answer
    x = 1,080,707.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.