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Finding the Third Proportional to 571,478.06 and 783,651.66

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Solution

The third proportional to 571,478.06 and 783,651.66 is: 1,074,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,478.06 : 783,651.66 = 783,651.66 : x
  2. Step 2: Convert to fraction form
    571,478.06/783,651.66 = 783,651.66/x
  3. Step 3: Cross multiply
    571,478.06x = 783,651.66 × 783,651.66
  4. Step 4: Simplify right side
    571,478.06x = 614,109,918,343.37
  5. Step 5: Solve for x
    x = 614,109,918,343.37/571,478.06
  6. Step 6: Final answer
    x = 1,074,599.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.