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Finding the Third Proportional to 557,292 and 885,662

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Solution

The third proportional to 557,292 and 885,662 is: 1,407,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,292 : 885,662 = 885,662 : x
  2. Step 2: Convert to fraction form
    557,292/885,662 = 885,662/x
  3. Step 3: Cross multiply
    557,292x = 885,662 × 885,662
  4. Step 4: Simplify right side
    557,292x = 784,397,178,244
  5. Step 5: Solve for x
    x = 784,397,178,244/557,292
  6. Step 6: Final answer
    x = 1,407,515.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.