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Finding the Third Proportional to 350,566 and 766,028

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Solution

The third proportional to 350,566 and 766,028 is: 1,673,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,566 : 766,028 = 766,028 : x
  2. Step 2: Convert to fraction form
    350,566/766,028 = 766,028/x
  3. Step 3: Cross multiply
    350,566x = 766,028 × 766,028
  4. Step 4: Simplify right side
    350,566x = 586,798,896,784
  5. Step 5: Solve for x
    x = 586,798,896,784/350,566
  6. Step 6: Final answer
    x = 1,673,861.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.