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Finding the Third Proportional to 588,534.75 and 833,008.50

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Solution

The third proportional to 588,534.75 and 833,008.50 is: 1,179,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,534.75 : 833,008.50 = 833,008.50 : x
  2. Step 2: Convert to fraction form
    588,534.75/833,008.50 = 833,008.50/x
  3. Step 3: Cross multiply
    588,534.75x = 833,008.50 × 833,008.50
  4. Step 4: Simplify right side
    588,534.75x = 693,903,161,072.25
  5. Step 5: Solve for x
    x = 693,903,161,072.25/588,534.75
  6. Step 6: Final answer
    x = 1,179,035.16

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.