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Finding the Third Proportional to 324,830.25 and 472,483.13

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Solution

The third proportional to 324,830.25 and 472,483.13 is: 687,252.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,830.25 : 472,483.13 = 472,483.13 : x
  2. Step 2: Convert to fraction form
    324,830.25/472,483.13 = 472,483.13/x
  3. Step 3: Cross multiply
    324,830.25x = 472,483.13 × 472,483.13
  4. Step 4: Simplify right side
    324,830.25x = 223,240,303,409.77
  5. Step 5: Solve for x
    x = 223,240,303,409.77/324,830.25
  6. Step 6: Final answer
    x = 687,252.20

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.