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Finding the Third Proportional to 627,135.50 and 946,582

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Solution

The third proportional to 627,135.50 and 946,582 is: 1,428,746.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,135.50 : 946,582 = 946,582 : x
  2. Step 2: Convert to fraction form
    627,135.50/946,582 = 946,582/x
  3. Step 3: Cross multiply
    627,135.50x = 946,582 × 946,582
  4. Step 4: Simplify right side
    627,135.50x = 896,017,482,724
  5. Step 5: Solve for x
    x = 896,017,482,724/627,135.50
  6. Step 6: Final answer
    x = 1,428,746.23

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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.