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Finding the Third Proportional to 303,587 and 452,917

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Solution

The third proportional to 303,587 and 452,917 is: 675,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,587 : 452,917 = 452,917 : x
  2. Step 2: Convert to fraction form
    303,587/452,917 = 452,917/x
  3. Step 3: Cross multiply
    303,587x = 452,917 × 452,917
  4. Step 4: Simplify right side
    303,587x = 205,133,808,889
  5. Step 5: Solve for x
    x = 205,133,808,889/303,587
  6. Step 6: Final answer
    x = 675,700.24

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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.