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Finding the Third Proportional to 295,491 and 653,190

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Solution

The third proportional to 295,491 and 653,190 is: 1,443,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,491 : 653,190 = 653,190 : x
  2. Step 2: Convert to fraction form
    295,491/653,190 = 653,190/x
  3. Step 3: Cross multiply
    295,491x = 653,190 × 653,190
  4. Step 4: Simplify right side
    295,491x = 426,657,176,100
  5. Step 5: Solve for x
    x = 426,657,176,100/295,491
  6. Step 6: Final answer
    x = 1,443,892.29

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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.