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Finding the Third Proportional to 401,572.69 and 842,541.75

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Solution

The third proportional to 401,572.69 and 842,541.75 is: 1,767,741.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,572.69 : 842,541.75 = 842,541.75 : x
  2. Step 2: Convert to fraction form
    401,572.69/842,541.75 = 842,541.75/x
  3. Step 3: Cross multiply
    401,572.69x = 842,541.75 × 842,541.75
  4. Step 4: Simplify right side
    401,572.69x = 709,876,600,493.06
  5. Step 5: Solve for x
    x = 709,876,600,493.06/401,572.69
  6. Step 6: Final answer
    x = 1,767,741.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.