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Finding the Third Proportional to 350,089 and 713,019

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Solution

The third proportional to 350,089 and 713,019 is: 1,452,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,089 : 713,019 = 713,019 : x
  2. Step 2: Convert to fraction form
    350,089/713,019 = 713,019/x
  3. Step 3: Cross multiply
    350,089x = 713,019 × 713,019
  4. Step 4: Simplify right side
    350,089x = 508,396,094,361
  5. Step 5: Solve for x
    x = 508,396,094,361/350,089
  6. Step 6: Final answer
    x = 1,452,191.00

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.