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Finding the Third Proportional to 303,582.75 and 452,911.13

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Solution

The third proportional to 303,582.75 and 452,911.13 is: 675,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,582.75 : 452,911.13 = 452,911.13 : x
  2. Step 2: Convert to fraction form
    303,582.75/452,911.13 = 452,911.13/x
  3. Step 3: Cross multiply
    303,582.75x = 452,911.13 × 452,911.13
  4. Step 4: Simplify right side
    303,582.75x = 205,128,487,148.77
  5. Step 5: Solve for x
    x = 205,128,487,148.77/303,582.75
  6. Step 6: Final answer
    x = 675,692.17

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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.