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Finding the Third Proportional to 401,522 and 587,176.50

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Solution

The third proportional to 401,522 and 587,176.50 is: 858,673.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,522 : 587,176.50 = 587,176.50 : x
  2. Step 2: Convert to fraction form
    401,522/587,176.50 = 587,176.50/x
  3. Step 3: Cross multiply
    401,522x = 587,176.50 × 587,176.50
  4. Step 4: Simplify right side
    401,522x = 344,776,242,152.25
  5. Step 5: Solve for x
    x = 344,776,242,152.25/401,522
  6. Step 6: Final answer
    x = 858,673.35

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