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Finding the Third Proportional to 340,096.50 and 741,430.50

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Solution

The third proportional to 340,096.50 and 741,430.50 is: 1,616,362.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,096.50 : 741,430.50 = 741,430.50 : x
  2. Step 2: Convert to fraction form
    340,096.50/741,430.50 = 741,430.50/x
  3. Step 3: Cross multiply
    340,096.50x = 741,430.50 × 741,430.50
  4. Step 4: Simplify right side
    340,096.50x = 549,719,186,330.25
  5. Step 5: Solve for x
    x = 549,719,186,330.25/340,096.50
  6. Step 6: Final answer
    x = 1,616,362.37

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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.