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Finding the Third Proportional to 571,716 and 840,456

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Solution

The third proportional to 571,716 and 840,456 is: 1,235,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,716 : 840,456 = 840,456 : x
  2. Step 2: Convert to fraction form
    571,716/840,456 = 840,456/x
  3. Step 3: Cross multiply
    571,716x = 840,456 × 840,456
  4. Step 4: Simplify right side
    571,716x = 706,366,287,936
  5. Step 5: Solve for x
    x = 706,366,287,936/571,716
  6. Step 6: Final answer
    x = 1,235,519.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.