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Finding the Third Proportional to 349,388.50 and 744,533

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Solution

The third proportional to 349,388.50 and 744,533 is: 1,586,570.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,388.50 : 744,533 = 744,533 : x
  2. Step 2: Convert to fraction form
    349,388.50/744,533 = 744,533/x
  3. Step 3: Cross multiply
    349,388.50x = 744,533 × 744,533
  4. Step 4: Simplify right side
    349,388.50x = 554,329,388,089
  5. Step 5: Solve for x
    x = 554,329,388,089/349,388.50
  6. Step 6: Final answer
    x = 1,586,570.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.