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Finding the Third Proportional to 259,089 and 562,432.75

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Solution

The third proportional to 259,089 and 562,432.75 is: 1,220,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,089 : 562,432.75 = 562,432.75 : x
  2. Step 2: Convert to fraction form
    259,089/562,432.75 = 562,432.75/x
  3. Step 3: Cross multiply
    259,089x = 562,432.75 × 562,432.75
  4. Step 4: Simplify right side
    259,089x = 316,330,598,272.56
  5. Step 5: Solve for x
    x = 316,330,598,272.56/259,089
  6. Step 6: Final answer
    x = 1,220,934.11

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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.