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Finding the Third Proportional to 303,602 and 452,937

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Solution

The third proportional to 303,602 and 452,937 is: 675,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,602 : 452,937 = 452,937 : x
  2. Step 2: Convert to fraction form
    303,602/452,937 = 452,937/x
  3. Step 3: Cross multiply
    303,602x = 452,937 × 452,937
  4. Step 4: Simplify right side
    303,602x = 205,151,925,969
  5. Step 5: Solve for x
    x = 205,151,925,969/303,602
  6. Step 6: Final answer
    x = 675,726.53

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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.