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Finding the Third Proportional to 358,450.13 and 748,270.13

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Solution

The third proportional to 358,450.13 and 748,270.13 is: 1,562,025.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,450.13 : 748,270.13 = 748,270.13 : x
  2. Step 2: Convert to fraction form
    358,450.13/748,270.13 = 748,270.13/x
  3. Step 3: Cross multiply
    358,450.13x = 748,270.13 × 748,270.13
  4. Step 4: Simplify right side
    358,450.13x = 559,908,179,967.52
  5. Step 5: Solve for x
    x = 559,908,179,967.52/358,450.13
  6. Step 6: Final answer
    x = 1,562,025.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.