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Finding the Third Proportional to 608,583 and 946,063.50

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Solution

The third proportional to 608,583 and 946,063.50 is: 1,470,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,583 : 946,063.50 = 946,063.50 : x
  2. Step 2: Convert to fraction form
    608,583/946,063.50 = 946,063.50/x
  3. Step 3: Cross multiply
    608,583x = 946,063.50 × 946,063.50
  4. Step 4: Simplify right side
    608,583x = 895,036,146,032.25
  5. Step 5: Solve for x
    x = 895,036,146,032.25/608,583
  6. Step 6: Final answer
    x = 1,470,688.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.