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Finding the Third Proportional to 243,966.30 and 528,659.79

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Solution

The third proportional to 243,966.30 and 528,659.79 is: 1,145,572.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,966.30 : 528,659.79 = 528,659.79 : x
  2. Step 2: Convert to fraction form
    243,966.30/528,659.79 = 528,659.79/x
  3. Step 3: Cross multiply
    243,966.30x = 528,659.79 × 528,659.79
  4. Step 4: Simplify right side
    243,966.30x = 279,481,172,571.61
  5. Step 5: Solve for x
    x = 279,481,172,571.61/243,966.30
  6. Step 6: Final answer
    x = 1,145,572.84

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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.