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Finding the Third Proportional to 296,222 and 650,365

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Solution

The third proportional to 296,222 and 650,365 is: 1,427,897.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,222 : 650,365 = 650,365 : x
  2. Step 2: Convert to fraction form
    296,222/650,365 = 650,365/x
  3. Step 3: Cross multiply
    296,222x = 650,365 × 650,365
  4. Step 4: Simplify right side
    296,222x = 422,974,633,225
  5. Step 5: Solve for x
    x = 422,974,633,225/296,222
  6. Step 6: Final answer
    x = 1,427,897.43

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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.