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Finding the Third Proportional to 324,018 and 697,706

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Solution

The third proportional to 324,018 and 697,706 is: 1,502,366.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,018 : 697,706 = 697,706 : x
  2. Step 2: Convert to fraction form
    324,018/697,706 = 697,706/x
  3. Step 3: Cross multiply
    324,018x = 697,706 × 697,706
  4. Step 4: Simplify right side
    324,018x = 486,793,662,436
  5. Step 5: Solve for x
    x = 486,793,662,436/324,018
  6. Step 6: Final answer
    x = 1,502,366.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.