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Finding the Third Proportional to 582,604 and 879,246

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Solution

The third proportional to 582,604 and 879,246 is: 1,326,927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,604 : 879,246 = 879,246 : x
  2. Step 2: Convert to fraction form
    582,604/879,246 = 879,246/x
  3. Step 3: Cross multiply
    582,604x = 879,246 × 879,246
  4. Step 4: Simplify right side
    582,604x = 773,073,528,516
  5. Step 5: Solve for x
    x = 773,073,528,516/582,604
  6. Step 6: Final answer
    x = 1,326,927.95

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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.