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Finding the Third Proportional to 571,496 and 862,428

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Solution

The third proportional to 571,496 and 862,428 is: 1,301,465.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,496 : 862,428 = 862,428 : x
  2. Step 2: Convert to fraction form
    571,496/862,428 = 862,428/x
  3. Step 3: Cross multiply
    571,496x = 862,428 × 862,428
  4. Step 4: Simplify right side
    571,496x = 743,782,055,184
  5. Step 5: Solve for x
    x = 743,782,055,184/571,496
  6. Step 6: Final answer
    x = 1,301,465.02

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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.