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Finding the Third Proportional to 401,715 and 533,133

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Solution

The third proportional to 401,715 and 533,133 is: 707,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,715 : 533,133 = 533,133 : x
  2. Step 2: Convert to fraction form
    401,715/533,133 = 533,133/x
  3. Step 3: Cross multiply
    401,715x = 533,133 × 533,133
  4. Step 4: Simplify right side
    401,715x = 284,230,795,689
  5. Step 5: Solve for x
    x = 284,230,795,689/401,715
  6. Step 6: Final answer
    x = 707,543.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.