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Finding the Third Proportional to 406,455.75 and 571,873.50

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Solution

The third proportional to 406,455.75 and 571,873.50 is: 804,612.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,455.75 : 571,873.50 = 571,873.50 : x
  2. Step 2: Convert to fraction form
    406,455.75/571,873.50 = 571,873.50/x
  3. Step 3: Cross multiply
    406,455.75x = 571,873.50 × 571,873.50
  4. Step 4: Simplify right side
    406,455.75x = 327,039,300,002.25
  5. Step 5: Solve for x
    x = 327,039,300,002.25/406,455.75
  6. Step 6: Final answer
    x = 804,612.31

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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.