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Finding the Third Proportional to 571,584.94 and 877,140.56

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Solution

The third proportional to 571,584.94 and 877,140.56 is: 1,346,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,584.94 : 877,140.56 = 877,140.56 : x
  2. Step 2: Convert to fraction form
    571,584.94/877,140.56 = 877,140.56/x
  3. Step 3: Cross multiply
    571,584.94x = 877,140.56 × 877,140.56
  4. Step 4: Simplify right side
    571,584.94x = 769,375,566,382.82
  5. Step 5: Solve for x
    x = 769,375,566,382.82/571,584.94
  6. Step 6: Final answer
    x = 1,346,038.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.