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Finding the Third Proportional to 317,611.13 and 678,283.88

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Solution

The third proportional to 317,611.13 and 678,283.88 is: 1,448,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,611.13 : 678,283.88 = 678,283.88 : x
  2. Step 2: Convert to fraction form
    317,611.13/678,283.88 = 678,283.88/x
  3. Step 3: Cross multiply
    317,611.13x = 678,283.88 × 678,283.88
  4. Step 4: Simplify right side
    317,611.13x = 460,069,015,085.02
  5. Step 5: Solve for x
    x = 460,069,015,085.02/317,611.13
  6. Step 6: Final answer
    x = 1,448,529.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.