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Finding the Third Proportional to 364,936 and 581,132

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Solution

The third proportional to 364,936 and 581,132 is: 925,407.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,936 : 581,132 = 581,132 : x
  2. Step 2: Convert to fraction form
    364,936/581,132 = 581,132/x
  3. Step 3: Cross multiply
    364,936x = 581,132 × 581,132
  4. Step 4: Simplify right side
    364,936x = 337,714,401,424
  5. Step 5: Solve for x
    x = 337,714,401,424/364,936
  6. Step 6: Final answer
    x = 925,407.20

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.