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Finding the Third Proportional to 303,524 and 456,260

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Solution

The third proportional to 303,524 and 456,260 is: 685,854.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,524 : 456,260 = 456,260 : x
  2. Step 2: Convert to fraction form
    303,524/456,260 = 456,260/x
  3. Step 3: Cross multiply
    303,524x = 456,260 × 456,260
  4. Step 4: Simplify right side
    303,524x = 208,173,187,600
  5. Step 5: Solve for x
    x = 208,173,187,600/303,524
  6. Step 6: Final answer
    x = 685,854.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.