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Finding the Third Proportional to 360,525.38 and 565,536.94

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Solution

The third proportional to 360,525.38 and 565,536.94 is: 887,127.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,525.38 : 565,536.94 = 565,536.94 : x
  2. Step 2: Convert to fraction form
    360,525.38/565,536.94 = 565,536.94/x
  3. Step 3: Cross multiply
    360,525.38x = 565,536.94 × 565,536.94
  4. Step 4: Simplify right side
    360,525.38x = 319,832,027,676.88
  5. Step 5: Solve for x
    x = 319,832,027,676.88/360,525.38
  6. Step 6: Final answer
    x = 887,127.65

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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.