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Finding the Third Proportional to 571,485 and 783,662

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Solution

The third proportional to 571,485 and 783,662 is: 1,074,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,485 : 783,662 = 783,662 : x
  2. Step 2: Convert to fraction form
    571,485/783,662 = 783,662/x
  3. Step 3: Cross multiply
    571,485x = 783,662 × 783,662
  4. Step 4: Simplify right side
    571,485x = 614,126,130,244
  5. Step 5: Solve for x
    x = 614,126,130,244/571,485
  6. Step 6: Final answer
    x = 1,074,614.61

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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.