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Finding the Third Proportional to 465,849 and 684,007.50

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Solution

The third proportional to 465,849 and 684,007.50 is: 1,004,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,849 : 684,007.50 = 684,007.50 : x
  2. Step 2: Convert to fraction form
    465,849/684,007.50 = 684,007.50/x
  3. Step 3: Cross multiply
    465,849x = 684,007.50 × 684,007.50
  4. Step 4: Simplify right side
    465,849x = 467,866,260,056.25
  5. Step 5: Solve for x
    x = 467,866,260,056.25/465,849
  6. Step 6: Final answer
    x = 1,004,330.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.