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Finding the Third Proportional to 357,201 and 766,197

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Solution

The third proportional to 357,201 and 766,197 is: 1,643,494.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,201 : 766,197 = 766,197 : x
  2. Step 2: Convert to fraction form
    357,201/766,197 = 766,197/x
  3. Step 3: Cross multiply
    357,201x = 766,197 × 766,197
  4. Step 4: Simplify right side
    357,201x = 587,057,842,809
  5. Step 5: Solve for x
    x = 587,057,842,809/357,201
  6. Step 6: Final answer
    x = 1,643,494.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.