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Finding the Third Proportional to 291,566 and 606,409

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Solution

The third proportional to 291,566 and 606,409 is: 1,261,230.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,566 : 606,409 = 606,409 : x
  2. Step 2: Convert to fraction form
    291,566/606,409 = 606,409/x
  3. Step 3: Cross multiply
    291,566x = 606,409 × 606,409
  4. Step 4: Simplify right side
    291,566x = 367,731,875,281
  5. Step 5: Solve for x
    x = 367,731,875,281/291,566
  6. Step 6: Final answer
    x = 1,261,230.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.