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Finding the Third Proportional to 248,703.75 and 532,864.88

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Solution

The third proportional to 248,703.75 and 532,864.88 is: 1,141,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,703.75 : 532,864.88 = 532,864.88 : x
  2. Step 2: Convert to fraction form
    248,703.75/532,864.88 = 532,864.88/x
  3. Step 3: Cross multiply
    248,703.75x = 532,864.88 × 532,864.88
  4. Step 4: Simplify right side
    248,703.75x = 283,944,975,008.77
  5. Step 5: Solve for x
    x = 283,944,975,008.77/248,703.75
  6. Step 6: Final answer
    x = 1,141,699.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.