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Finding the Third Proportional to 583,270 and 834,078

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Solution

The third proportional to 583,270 and 834,078 is: 1,192,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,270 : 834,078 = 834,078 : x
  2. Step 2: Convert to fraction form
    583,270/834,078 = 834,078/x
  3. Step 3: Cross multiply
    583,270x = 834,078 × 834,078
  4. Step 4: Simplify right side
    583,270x = 695,686,110,084
  5. Step 5: Solve for x
    x = 695,686,110,084/583,270
  6. Step 6: Final answer
    x = 1,192,734.26

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.