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Finding the Third Proportional to 582,624 and 787,168

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Solution

The third proportional to 582,624 and 787,168 is: 1,063,522.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,624 : 787,168 = 787,168 : x
  2. Step 2: Convert to fraction form
    582,624/787,168 = 787,168/x
  3. Step 3: Cross multiply
    582,624x = 787,168 × 787,168
  4. Step 4: Simplify right side
    582,624x = 619,633,460,224
  5. Step 5: Solve for x
    x = 619,633,460,224/582,624
  6. Step 6: Final answer
    x = 1,063,522.03

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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.