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Finding the Third Proportional to 303,582 and 445,536

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Solution

The third proportional to 303,582 and 445,536 is: 653,867.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,582 : 445,536 = 445,536 : x
  2. Step 2: Convert to fraction form
    303,582/445,536 = 445,536/x
  3. Step 3: Cross multiply
    303,582x = 445,536 × 445,536
  4. Step 4: Simplify right side
    303,582x = 198,502,327,296
  5. Step 5: Solve for x
    x = 198,502,327,296/303,582
  6. Step 6: Final answer
    x = 653,867.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.