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Finding the Third Proportional to 288,222 and 460,441

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Solution

The third proportional to 288,222 and 460,441 is: 735,564.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,222 : 460,441 = 460,441 : x
  2. Step 2: Convert to fraction form
    288,222/460,441 = 460,441/x
  3. Step 3: Cross multiply
    288,222x = 460,441 × 460,441
  4. Step 4: Simplify right side
    288,222x = 212,005,914,481
  5. Step 5: Solve for x
    x = 212,005,914,481/288,222
  6. Step 6: Final answer
    x = 735,564.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.