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Finding the Third Proportional to 400,733.58 and 619,706.95

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Solution

The third proportional to 400,733.58 and 619,706.95 is: 958,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,733.58 : 619,706.95 = 619,706.95 : x
  2. Step 2: Convert to fraction form
    400,733.58/619,706.95 = 619,706.95/x
  3. Step 3: Cross multiply
    400,733.58x = 619,706.95 × 619,706.95
  4. Step 4: Simplify right side
    400,733.58x = 384,036,707,751.47
  5. Step 5: Solve for x
    x = 384,036,707,751.47/400,733.58
  6. Step 6: Final answer
    x = 958,334.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.