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Finding the Third Proportional to 360,525.94 and 565,538.06

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Solution

The third proportional to 360,525.94 and 565,538.06 is: 887,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,525.94 : 565,538.06 = 565,538.06 : x
  2. Step 2: Convert to fraction form
    360,525.94/565,538.06 = 565,538.06/x
  3. Step 3: Cross multiply
    360,525.94x = 565,538.06 × 565,538.06
  4. Step 4: Simplify right side
    360,525.94x = 319,833,300,136.25
  5. Step 5: Solve for x
    x = 319,833,300,136.25/360,525.94
  6. Step 6: Final answer
    x = 887,129.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.