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Finding the Third Proportional to 584,568 and 930,883.50

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Solution

The third proportional to 584,568 and 930,883.50 is: 1,482,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,568 : 930,883.50 = 930,883.50 : x
  2. Step 2: Convert to fraction form
    584,568/930,883.50 = 930,883.50/x
  3. Step 3: Cross multiply
    584,568x = 930,883.50 × 930,883.50
  4. Step 4: Simplify right side
    584,568x = 866,544,090,572.25
  5. Step 5: Solve for x
    x = 866,544,090,572.25/584,568
  6. Step 6: Final answer
    x = 1,482,366.62

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.