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Finding the Third Proportional to 349,389.50 and 744,535

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Solution

The third proportional to 349,389.50 and 744,535 is: 1,586,574.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,389.50 : 744,535 = 744,535 : x
  2. Step 2: Convert to fraction form
    349,389.50/744,535 = 744,535/x
  3. Step 3: Cross multiply
    349,389.50x = 744,535 × 744,535
  4. Step 4: Simplify right side
    349,389.50x = 554,332,366,225
  5. Step 5: Solve for x
    x = 554,332,366,225/349,389.50
  6. Step 6: Final answer
    x = 1,586,574.20

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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.