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Finding the Third Proportional to 583,254 and 834,057

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Solution

The third proportional to 583,254 and 834,057 is: 1,192,706.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,254 : 834,057 = 834,057 : x
  2. Step 2: Convert to fraction form
    583,254/834,057 = 834,057/x
  3. Step 3: Cross multiply
    583,254x = 834,057 × 834,057
  4. Step 4: Simplify right side
    583,254x = 695,651,079,249
  5. Step 5: Solve for x
    x = 695,651,079,249/583,254
  6. Step 6: Final answer
    x = 1,192,706.92

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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.