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Finding the Third Proportional to 295,508 and 653,224

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Solution

The third proportional to 295,508 and 653,224 is: 1,443,959.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,508 : 653,224 = 653,224 : x
  2. Step 2: Convert to fraction form
    295,508/653,224 = 653,224/x
  3. Step 3: Cross multiply
    295,508x = 653,224 × 653,224
  4. Step 4: Simplify right side
    295,508x = 426,701,594,176
  5. Step 5: Solve for x
    x = 426,701,594,176/295,508
  6. Step 6: Final answer
    x = 1,443,959.53

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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.