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Finding the Third Proportional to 411,352 and 627,963.50

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Solution

The third proportional to 411,352 and 627,963.50 is: 958,639.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,352 : 627,963.50 = 627,963.50 : x
  2. Step 2: Convert to fraction form
    411,352/627,963.50 = 627,963.50/x
  3. Step 3: Cross multiply
    411,352x = 627,963.50 × 627,963.50
  4. Step 4: Simplify right side
    411,352x = 394,338,157,332.25
  5. Step 5: Solve for x
    x = 394,338,157,332.25/411,352
  6. Step 6: Final answer
    x = 958,639.21

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.