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Finding the Third Proportional to 303,120 and 452,808

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Solution

The third proportional to 303,120 and 452,808 is: 676,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,120 : 452,808 = 452,808 : x
  2. Step 2: Convert to fraction form
    303,120/452,808 = 452,808/x
  3. Step 3: Cross multiply
    303,120x = 452,808 × 452,808
  4. Step 4: Simplify right side
    303,120x = 205,035,084,864
  5. Step 5: Solve for x
    x = 205,035,084,864/303,120
  6. Step 6: Final answer
    x = 676,415.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.