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Finding the Third Proportional to 364,481 and 513,043

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Solution

The third proportional to 364,481 and 513,043 is: 722,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,481 : 513,043 = 513,043 : x
  2. Step 2: Convert to fraction form
    364,481/513,043 = 513,043/x
  3. Step 3: Cross multiply
    364,481x = 513,043 × 513,043
  4. Step 4: Simplify right side
    364,481x = 263,213,119,849
  5. Step 5: Solve for x
    x = 263,213,119,849/364,481
  6. Step 6: Final answer
    x = 722,158.69

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.