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Finding the Third Proportional to 261,670 and 563,434.50

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Solution

The third proportional to 261,670 and 563,434.50 is: 1,213,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,670 : 563,434.50 = 563,434.50 : x
  2. Step 2: Convert to fraction form
    261,670/563,434.50 = 563,434.50/x
  3. Step 3: Cross multiply
    261,670x = 563,434.50 × 563,434.50
  4. Step 4: Simplify right side
    261,670x = 317,458,435,790.25
  5. Step 5: Solve for x
    x = 317,458,435,790.25/261,670
  6. Step 6: Final answer
    x = 1,213,201.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.