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Finding the Third Proportional to 295,500 and 653,208

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Solution

The third proportional to 295,500 and 653,208 is: 1,443,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,500 : 653,208 = 653,208 : x
  2. Step 2: Convert to fraction form
    295,500/653,208 = 653,208/x
  3. Step 3: Cross multiply
    295,500x = 653,208 × 653,208
  4. Step 4: Simplify right side
    295,500x = 426,680,691,264
  5. Step 5: Solve for x
    x = 426,680,691,264/295,500
  6. Step 6: Final answer
    x = 1,443,927.89

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.