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Finding the Third Proportional to 358,042 and 501,908

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Solution

The third proportional to 358,042 and 501,908 is: 703,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,042 : 501,908 = 501,908 : x
  2. Step 2: Convert to fraction form
    358,042/501,908 = 501,908/x
  3. Step 3: Cross multiply
    358,042x = 501,908 × 501,908
  4. Step 4: Simplify right side
    358,042x = 251,911,640,464
  5. Step 5: Solve for x
    x = 251,911,640,464/358,042
  6. Step 6: Final answer
    x = 703,581.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.