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Finding the Third Proportional to 583,332 and 913,884

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Solution

The third proportional to 583,332 and 913,884 is: 1,431,747.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,332 : 913,884 = 913,884 : x
  2. Step 2: Convert to fraction form
    583,332/913,884 = 913,884/x
  3. Step 3: Cross multiply
    583,332x = 913,884 × 913,884
  4. Step 4: Simplify right side
    583,332x = 835,183,965,456
  5. Step 5: Solve for x
    x = 835,183,965,456/583,332
  6. Step 6: Final answer
    x = 1,431,747.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.