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Finding the Third Proportional to 350,020 and 524,920

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Solution

The third proportional to 350,020 and 524,920 is: 787,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,020 : 524,920 = 524,920 : x
  2. Step 2: Convert to fraction form
    350,020/524,920 = 524,920/x
  3. Step 3: Cross multiply
    350,020x = 524,920 × 524,920
  4. Step 4: Simplify right side
    350,020x = 275,541,006,400
  5. Step 5: Solve for x
    x = 275,541,006,400/350,020
  6. Step 6: Final answer
    x = 787,215.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.