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Finding the Third Proportional to 638,541 and 960,492.94

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Solution

The third proportional to 638,541 and 960,492.94 is: 1,444,772.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,541 : 960,492.94 = 960,492.94 : x
  2. Step 2: Convert to fraction form
    638,541/960,492.94 = 960,492.94/x
  3. Step 3: Cross multiply
    638,541x = 960,492.94 × 960,492.94
  4. Step 4: Simplify right side
    638,541x = 922,546,682,987.38
  5. Step 5: Solve for x
    x = 922,546,682,987.38/638,541
  6. Step 6: Final answer
    x = 1,444,772.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.