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Finding the Third Proportional to 627,381 and 946,957.50

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Solution

The third proportional to 627,381 and 946,957.50 is: 1,429,320.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,381 : 946,957.50 = 946,957.50 : x
  2. Step 2: Convert to fraction form
    627,381/946,957.50 = 946,957.50/x
  3. Step 3: Cross multiply
    627,381x = 946,957.50 × 946,957.50
  4. Step 4: Simplify right side
    627,381x = 896,728,506,806.25
  5. Step 5: Solve for x
    x = 896,728,506,806.25/627,381
  6. Step 6: Final answer
    x = 1,429,320.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.