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Finding the Third Proportional to 364,952.25 and 561,721.50

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Solution

The third proportional to 364,952.25 and 561,721.50 is: 864,581.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,952.25 : 561,721.50 = 561,721.50 : x
  2. Step 2: Convert to fraction form
    364,952.25/561,721.50 = 561,721.50/x
  3. Step 3: Cross multiply
    364,952.25x = 561,721.50 × 561,721.50
  4. Step 4: Simplify right side
    364,952.25x = 315,531,043,562.25
  5. Step 5: Solve for x
    x = 315,531,043,562.25/364,952.25
  6. Step 6: Final answer
    x = 864,581.72

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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.