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Finding the Third Proportional to 582,543 and 787,053

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Solution

The third proportional to 582,543 and 787,053 is: 1,063,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,543 : 787,053 = 787,053 : x
  2. Step 2: Convert to fraction form
    582,543/787,053 = 787,053/x
  3. Step 3: Cross multiply
    582,543x = 787,053 × 787,053
  4. Step 4: Simplify right side
    582,543x = 619,452,424,809
  5. Step 5: Solve for x
    x = 619,452,424,809/582,543
  6. Step 6: Final answer
    x = 1,063,359.14

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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.