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Finding the Third Proportional to 307,332 and 414,306

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Solution

The third proportional to 307,332 and 414,306 is: 558,514.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,332 : 414,306 = 414,306 : x
  2. Step 2: Convert to fraction form
    307,332/414,306 = 414,306/x
  3. Step 3: Cross multiply
    307,332x = 414,306 × 414,306
  4. Step 4: Simplify right side
    307,332x = 171,649,461,636
  5. Step 5: Solve for x
    x = 171,649,461,636/307,332
  6. Step 6: Final answer
    x = 558,514.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.