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Finding the Third Proportional to 400,111.50 and 619,338

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Solution

The third proportional to 400,111.50 and 619,338 is: 958,681.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,111.50 : 619,338 = 619,338 : x
  2. Step 2: Convert to fraction form
    400,111.50/619,338 = 619,338/x
  3. Step 3: Cross multiply
    400,111.50x = 619,338 × 619,338
  4. Step 4: Simplify right side
    400,111.50x = 383,579,558,244
  5. Step 5: Solve for x
    x = 383,579,558,244/400,111.50
  6. Step 6: Final answer
    x = 958,681.66

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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.