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Finding the Third Proportional to 291,658 and 606,598

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Solution

The third proportional to 291,658 and 606,598 is: 1,261,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,658 : 606,598 = 606,598 : x
  2. Step 2: Convert to fraction form
    291,658/606,598 = 606,598/x
  3. Step 3: Cross multiply
    291,658x = 606,598 × 606,598
  4. Step 4: Simplify right side
    291,658x = 367,961,133,604
  5. Step 5: Solve for x
    x = 367,961,133,604/291,658
  6. Step 6: Final answer
    x = 1,261,618.52

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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.