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Finding the Third Proportional to 401,425.88 and 587,065.50

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Solution

The third proportional to 401,425.88 and 587,065.50 is: 858,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,425.88 : 587,065.50 = 587,065.50 : x
  2. Step 2: Convert to fraction form
    401,425.88/587,065.50 = 587,065.50/x
  3. Step 3: Cross multiply
    401,425.88x = 587,065.50 × 587,065.50
  4. Step 4: Simplify right side
    401,425.88x = 344,645,901,290.25
  5. Step 5: Solve for x
    x = 344,645,901,290.25/401,425.88
  6. Step 6: Final answer
    x = 858,554.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.