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Finding the Third Proportional to 400.88 and 607.50

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Solution

The third proportional to 400.88 and 607.50 is: 920.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.88 : 607.50 = 607.50 : x
  2. Step 2: Convert to fraction form
    400.88/607.50 = 607.50/x
  3. Step 3: Cross multiply
    400.88x = 607.50 × 607.50
  4. Step 4: Simplify right side
    400.88x = 369,056.25
  5. Step 5: Solve for x
    x = 369,056.25/400.88
  6. Step 6: Final answer
    x = 920.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.