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Finding the Third Proportional to 350,130 and 763,629

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Solution

The third proportional to 350,130 and 763,629 is: 1,665,464.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,130 : 763,629 = 763,629 : x
  2. Step 2: Convert to fraction form
    350,130/763,629 = 763,629/x
  3. Step 3: Cross multiply
    350,130x = 763,629 × 763,629
  4. Step 4: Simplify right side
    350,130x = 583,129,249,641
  5. Step 5: Solve for x
    x = 583,129,249,641/350,130
  6. Step 6: Final answer
    x = 1,665,464.97

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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.