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Finding the Third Proportional to 656,596.13 and 983,436.19

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Solution

The third proportional to 656,596.13 and 983,436.19 is: 1,472,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,596.13 : 983,436.19 = 983,436.19 : x
  2. Step 2: Convert to fraction form
    656,596.13/983,436.19 = 983,436.19/x
  3. Step 3: Cross multiply
    656,596.13x = 983,436.19 × 983,436.19
  4. Step 4: Simplify right side
    656,596.13x = 967,146,734,884.54
  5. Step 5: Solve for x
    x = 967,146,734,884.54/656,596.13
  6. Step 6: Final answer
    x = 1,472,970.52

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Why These Related Problems?

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