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Finding the Third Proportional to 614,313 and 1,277,671.50

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Solution

The third proportional to 614,313 and 1,277,671.50 is: 2,657,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,313 : 1,277,671.50 = 1,277,671.50 : x
  2. Step 2: Convert to fraction form
    614,313/1,277,671.50 = 1,277,671.50/x
  3. Step 3: Cross multiply
    614,313x = 1,277,671.50 × 1,277,671.50
  4. Step 4: Simplify right side
    614,313x = 1,632,444,461,912.25
  5. Step 5: Solve for x
    x = 1,632,444,461,912.25/614,313
  6. Step 6: Final answer
    x = 2,657,349.69

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.