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Finding the Third Proportional to 324,677 and 442,303

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Solution

The third proportional to 324,677 and 442,303 is: 602,543.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,677 : 442,303 = 442,303 : x
  2. Step 2: Convert to fraction form
    324,677/442,303 = 442,303/x
  3. Step 3: Cross multiply
    324,677x = 442,303 × 442,303
  4. Step 4: Simplify right side
    324,677x = 195,631,943,809
  5. Step 5: Solve for x
    x = 195,631,943,809/324,677
  6. Step 6: Final answer
    x = 602,543.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.