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Finding the Third Proportional to 481,570 and 715,422

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Solution

The third proportional to 481,570 and 715,422 is: 1,062,833.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,570 : 715,422 = 715,422 : x
  2. Step 2: Convert to fraction form
    481,570/715,422 = 715,422/x
  3. Step 3: Cross multiply
    481,570x = 715,422 × 715,422
  4. Step 4: Simplify right side
    481,570x = 511,828,638,084
  5. Step 5: Solve for x
    x = 511,828,638,084/481,570
  6. Step 6: Final answer
    x = 1,062,833.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.