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Finding the Third Proportional to 407,029 and 598,357

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Solution

The third proportional to 407,029 and 598,357 is: 879,620.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,029 : 598,357 = 598,357 : x
  2. Step 2: Convert to fraction form
    407,029/598,357 = 598,357/x
  3. Step 3: Cross multiply
    407,029x = 598,357 × 598,357
  4. Step 4: Simplify right side
    407,029x = 358,031,099,449
  5. Step 5: Solve for x
    x = 358,031,099,449/407,029
  6. Step 6: Final answer
    x = 879,620.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.