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Finding the Third Proportional to 582,659 and 787,222

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Solution

The third proportional to 582,659 and 787,222 is: 1,063,604.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,659 : 787,222 = 787,222 : x
  2. Step 2: Convert to fraction form
    582,659/787,222 = 787,222/x
  3. Step 3: Cross multiply
    582,659x = 787,222 × 787,222
  4. Step 4: Simplify right side
    582,659x = 619,718,477,284
  5. Step 5: Solve for x
    x = 619,718,477,284/582,659
  6. Step 6: Final answer
    x = 1,063,604.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.