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Finding the Third Proportional to 582,282 and 782,460

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Solution

The third proportional to 582,282 and 782,460 is: 1,051,455.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,282 : 782,460 = 782,460 : x
  2. Step 2: Convert to fraction form
    582,282/782,460 = 782,460/x
  3. Step 3: Cross multiply
    582,282x = 782,460 × 782,460
  4. Step 4: Simplify right side
    582,282x = 612,243,651,600
  5. Step 5: Solve for x
    x = 612,243,651,600/582,282
  6. Step 6: Final answer
    x = 1,051,455.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.