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Finding the Third Proportional to 406,453.50 and 571,870.13

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Solution

The third proportional to 406,453.50 and 571,870.13 is: 804,607.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,453.50 : 571,870.13 = 571,870.13 : x
  2. Step 2: Convert to fraction form
    406,453.50/571,870.13 = 571,870.13/x
  3. Step 3: Cross multiply
    406,453.50x = 571,870.13 × 571,870.13
  4. Step 4: Simplify right side
    406,453.50x = 327,035,439,867.52
  5. Step 5: Solve for x
    x = 327,035,439,867.52/406,453.50
  6. Step 6: Final answer
    x = 804,607.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.