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Finding the Third Proportional to 364,572 and 561,600

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Solution

The third proportional to 364,572 and 561,600 is: 865,109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,572 : 561,600 = 561,600 : x
  2. Step 2: Convert to fraction form
    364,572/561,600 = 561,600/x
  3. Step 3: Cross multiply
    364,572x = 561,600 × 561,600
  4. Step 4: Simplify right side
    364,572x = 315,394,560,000
  5. Step 5: Solve for x
    x = 315,394,560,000/364,572
  6. Step 6: Final answer
    x = 865,109.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.