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Finding the Third Proportional to 459,569 and 661,921.50

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Solution

The third proportional to 459,569 and 661,921.50 is: 953,371.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,569 : 661,921.50 = 661,921.50 : x
  2. Step 2: Convert to fraction form
    459,569/661,921.50 = 661,921.50/x
  3. Step 3: Cross multiply
    459,569x = 661,921.50 × 661,921.50
  4. Step 4: Simplify right side
    459,569x = 438,140,072,162.25
  5. Step 5: Solve for x
    x = 438,140,072,162.25/459,569
  6. Step 6: Final answer
    x = 953,371.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.