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Finding the Third Proportional to 340,094.25 and 741,424.50

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Solution

The third proportional to 340,094.25 and 741,424.50 is: 1,616,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,094.25 : 741,424.50 = 741,424.50 : x
  2. Step 2: Convert to fraction form
    340,094.25/741,424.50 = 741,424.50/x
  3. Step 3: Cross multiply
    340,094.25x = 741,424.50 × 741,424.50
  4. Step 4: Simplify right side
    340,094.25x = 549,710,289,200.25
  5. Step 5: Solve for x
    x = 549,710,289,200.25/340,094.25
  6. Step 6: Final answer
    x = 1,616,346.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.