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Finding the Third Proportional to 583,312 and 834,128

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Solution

The third proportional to 583,312 and 834,128 is: 1,192,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,312 : 834,128 = 834,128 : x
  2. Step 2: Convert to fraction form
    583,312/834,128 = 834,128/x
  3. Step 3: Cross multiply
    583,312x = 834,128 × 834,128
  4. Step 4: Simplify right side
    583,312x = 695,769,520,384
  5. Step 5: Solve for x
    x = 695,769,520,384/583,312
  6. Step 6: Final answer
    x = 1,192,791.37

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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.