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Finding the Third Proportional to 582,555 and 787,070

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Solution

The third proportional to 582,555 and 787,070 is: 1,063,383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,555 : 787,070 = 787,070 : x
  2. Step 2: Convert to fraction form
    582,555/787,070 = 787,070/x
  3. Step 3: Cross multiply
    582,555x = 787,070 × 787,070
  4. Step 4: Simplify right side
    582,555x = 619,479,184,900
  5. Step 5: Solve for x
    x = 619,479,184,900/582,555
  6. Step 6: Final answer
    x = 1,063,383.17

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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.