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Finding the Third Proportional to 582,456 and 879,030

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Solution

The third proportional to 582,456 and 879,030 is: 1,326,613.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,456 : 879,030 = 879,030 : x
  2. Step 2: Convert to fraction form
    582,456/879,030 = 879,030/x
  3. Step 3: Cross multiply
    582,456x = 879,030 × 879,030
  4. Step 4: Simplify right side
    582,456x = 772,693,740,900
  5. Step 5: Solve for x
    x = 772,693,740,900/582,456
  6. Step 6: Final answer
    x = 1,326,613.07

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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.