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Finding the Third Proportional to 297,294 and 653,628

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Solution

The third proportional to 297,294 and 653,628 is: 1,437,060.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,294 : 653,628 = 653,628 : x
  2. Step 2: Convert to fraction form
    297,294/653,628 = 653,628/x
  3. Step 3: Cross multiply
    297,294x = 653,628 × 653,628
  4. Step 4: Simplify right side
    297,294x = 427,229,562,384
  5. Step 5: Solve for x
    x = 427,229,562,384/297,294
  6. Step 6: Final answer
    x = 1,437,060.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.