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Finding the Third Proportional to 688,533.75 and 1,137,844.13

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Solution

The third proportional to 688,533.75 and 1,137,844.13 is: 1,880,356.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,533.75 : 1,137,844.13 = 1,137,844.13 : x
  2. Step 2: Convert to fraction form
    688,533.75/1,137,844.13 = 1,137,844.13/x
  3. Step 3: Cross multiply
    688,533.75x = 1,137,844.13 × 1,137,844.13
  4. Step 4: Simplify right side
    688,533.75x = 1,294,689,252,797.02
  5. Step 5: Solve for x
    x = 1,294,689,252,797.02/688,533.75
  6. Step 6: Final answer
    x = 1,880,356.99

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.