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Finding the Third Proportional to 297,292 and 653,623

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Solution

The third proportional to 297,292 and 653,623 is: 1,437,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,292 : 653,623 = 653,623 : x
  2. Step 2: Convert to fraction form
    297,292/653,623 = 653,623/x
  3. Step 3: Cross multiply
    297,292x = 653,623 × 653,623
  4. Step 4: Simplify right side
    297,292x = 427,223,026,129
  5. Step 5: Solve for x
    x = 427,223,026,129/297,292
  6. Step 6: Final answer
    x = 1,437,048.51

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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.