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Finding the Third Proportional to 583,302 and 886,751

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Solution

The third proportional to 583,302 and 886,751 is: 1,348,062.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,302 : 886,751 = 886,751 : x
  2. Step 2: Convert to fraction form
    583,302/886,751 = 886,751/x
  3. Step 3: Cross multiply
    583,302x = 886,751 × 886,751
  4. Step 4: Simplify right side
    583,302x = 786,327,336,001
  5. Step 5: Solve for x
    x = 786,327,336,001/583,302
  6. Step 6: Final answer
    x = 1,348,062.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.