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Finding the Third Proportional to 582,752 and 879,488

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Solution

The third proportional to 582,752 and 879,488 is: 1,327,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,752 : 879,488 = 879,488 : x
  2. Step 2: Convert to fraction form
    582,752/879,488 = 879,488/x
  3. Step 3: Cross multiply
    582,752x = 879,488 × 879,488
  4. Step 4: Simplify right side
    582,752x = 773,499,142,144
  5. Step 5: Solve for x
    x = 773,499,142,144/582,752
  6. Step 6: Final answer
    x = 1,327,321.30

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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.