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Finding the Third Proportional to 582,546 and 787,057

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Solution

The third proportional to 582,546 and 787,057 is: 1,063,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,546 : 787,057 = 787,057 : x
  2. Step 2: Convert to fraction form
    582,546/787,057 = 787,057/x
  3. Step 3: Cross multiply
    582,546x = 787,057 × 787,057
  4. Step 4: Simplify right side
    582,546x = 619,458,721,249
  5. Step 5: Solve for x
    x = 619,458,721,249/582,546
  6. Step 6: Final answer
    x = 1,063,364.47

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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.