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Finding the Third Proportional to 375,004.69 and 571,733.44

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Solution

The third proportional to 375,004.69 and 571,733.44 is: 871,666.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,004.69 : 571,733.44 = 571,733.44 : x
  2. Step 2: Convert to fraction form
    375,004.69/571,733.44 = 571,733.44/x
  3. Step 3: Cross multiply
    375,004.69x = 571,733.44 × 571,733.44
  4. Step 4: Simplify right side
    375,004.69x = 326,879,123,555.57
  5. Step 5: Solve for x
    x = 326,879,123,555.57/375,004.69
  6. Step 6: Final answer
    x = 871,666.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.