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Finding the Third Proportional to 269,293.50 and 573,579

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Solution

The third proportional to 269,293.50 and 573,579 is: 1,221,688.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,293.50 : 573,579 = 573,579 : x
  2. Step 2: Convert to fraction form
    269,293.50/573,579 = 573,579/x
  3. Step 3: Cross multiply
    269,293.50x = 573,579 × 573,579
  4. Step 4: Simplify right side
    269,293.50x = 328,992,869,241
  5. Step 5: Solve for x
    x = 328,992,869,241/269,293.50
  6. Step 6: Final answer
    x = 1,221,688.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.