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Finding the Third Proportional to 386,570 and 585,201

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Solution

The third proportional to 386,570 and 585,201 is: 885,894.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,570 : 585,201 = 585,201 : x
  2. Step 2: Convert to fraction form
    386,570/585,201 = 585,201/x
  3. Step 3: Cross multiply
    386,570x = 585,201 × 585,201
  4. Step 4: Simplify right side
    386,570x = 342,460,210,401
  5. Step 5: Solve for x
    x = 342,460,210,401/386,570
  6. Step 6: Final answer
    x = 885,894.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.