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Finding the Third Proportional to 583,285.50 and 834,097.50

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Solution

The third proportional to 583,285.50 and 834,097.50 is: 1,192,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,285.50 : 834,097.50 = 834,097.50 : x
  2. Step 2: Convert to fraction form
    583,285.50/834,097.50 = 834,097.50/x
  3. Step 3: Cross multiply
    583,285.50x = 834,097.50 × 834,097.50
  4. Step 4: Simplify right side
    583,285.50x = 695,718,639,506.25
  5. Step 5: Solve for x
    x = 695,718,639,506.25/583,285.50
  6. Step 6: Final answer
    x = 1,192,758.33

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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.