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Finding the Third Proportional to 571,504 and 862,440

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Solution

The third proportional to 571,504 and 862,440 is: 1,301,483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,504 : 862,440 = 862,440 : x
  2. Step 2: Convert to fraction form
    571,504/862,440 = 862,440/x
  3. Step 3: Cross multiply
    571,504x = 862,440 × 862,440
  4. Step 4: Simplify right side
    571,504x = 743,802,753,600
  5. Step 5: Solve for x
    x = 743,802,753,600/571,504
  6. Step 6: Final answer
    x = 1,301,483.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.