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Finding the Third Proportional to 412,937 and 601,429

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Solution

The third proportional to 412,937 and 601,429 is: 875,961.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,937 : 601,429 = 601,429 : x
  2. Step 2: Convert to fraction form
    412,937/601,429 = 601,429/x
  3. Step 3: Cross multiply
    412,937x = 601,429 × 601,429
  4. Step 4: Simplify right side
    412,937x = 361,716,842,041
  5. Step 5: Solve for x
    x = 361,716,842,041/412,937
  6. Step 6: Final answer
    x = 875,961.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.