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Finding the Third Proportional to 582,628 and 787,174

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Solution

The third proportional to 582,628 and 787,174 is: 1,063,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,628 : 787,174 = 787,174 : x
  2. Step 2: Convert to fraction form
    582,628/787,174 = 787,174/x
  3. Step 3: Cross multiply
    582,628x = 787,174 × 787,174
  4. Step 4: Simplify right side
    582,628x = 619,642,906,276
  5. Step 5: Solve for x
    x = 619,642,906,276/582,628
  6. Step 6: Final answer
    x = 1,063,530.94

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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.