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Finding the Third Proportional to 583,348 and 913,908

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Solution

The third proportional to 583,348 and 913,908 is: 1,431,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,348 : 913,908 = 913,908 : x
  2. Step 2: Convert to fraction form
    583,348/913,908 = 913,908/x
  3. Step 3: Cross multiply
    583,348x = 913,908 × 913,908
  4. Step 4: Simplify right side
    583,348x = 835,227,832,464
  5. Step 5: Solve for x
    x = 835,227,832,464/583,348
  6. Step 6: Final answer
    x = 1,431,783.14

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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.