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Finding the Third Proportional to 295,496 and 653,200

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Solution

The third proportional to 295,496 and 653,200 is: 1,443,912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,496 : 653,200 = 653,200 : x
  2. Step 2: Convert to fraction form
    295,496/653,200 = 653,200/x
  3. Step 3: Cross multiply
    295,496x = 653,200 × 653,200
  4. Step 4: Simplify right side
    295,496x = 426,670,240,000
  5. Step 5: Solve for x
    x = 426,670,240,000/295,496
  6. Step 6: Final answer
    x = 1,443,912.07

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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.