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Finding the Third Proportional to 350,582 and 766,006

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Solution

The third proportional to 350,582 and 766,006 is: 1,673,688.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,582 : 766,006 = 766,006 : x
  2. Step 2: Convert to fraction form
    350,582/766,006 = 766,006/x
  3. Step 3: Cross multiply
    350,582x = 766,006 × 766,006
  4. Step 4: Simplify right side
    350,582x = 586,765,192,036
  5. Step 5: Solve for x
    x = 586,765,192,036/350,582
  6. Step 6: Final answer
    x = 1,673,688.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.