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Finding the Third Proportional to 558,846 and 885,296.25

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Solution

The third proportional to 558,846 and 885,296.25 is: 1,402,442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,846 : 885,296.25 = 885,296.25 : x
  2. Step 2: Convert to fraction form
    558,846/885,296.25 = 885,296.25/x
  3. Step 3: Cross multiply
    558,846x = 885,296.25 × 885,296.25
  4. Step 4: Simplify right side
    558,846x = 783,749,450,264.06
  5. Step 5: Solve for x
    x = 783,749,450,264.06/558,846
  6. Step 6: Final answer
    x = 1,402,442.62

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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.