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Finding the Third Proportional to 558,864 and 885,324

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Solution

The third proportional to 558,864 and 885,324 is: 1,402,485.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,864 : 885,324 = 885,324 : x
  2. Step 2: Convert to fraction form
    558,864/885,324 = 885,324/x
  3. Step 3: Cross multiply
    558,864x = 885,324 × 885,324
  4. Step 4: Simplify right side
    558,864x = 783,798,584,976
  5. Step 5: Solve for x
    x = 783,798,584,976/558,864
  6. Step 6: Final answer
    x = 1,402,485.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.