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Finding the Third Proportional to 304,813 and 452,807

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Solution

The third proportional to 304,813 and 452,807 is: 672,655.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,813 : 452,807 = 452,807 : x
  2. Step 2: Convert to fraction form
    304,813/452,807 = 452,807/x
  3. Step 3: Cross multiply
    304,813x = 452,807 × 452,807
  4. Step 4: Simplify right side
    304,813x = 205,034,179,249
  5. Step 5: Solve for x
    x = 205,034,179,249/304,813
  6. Step 6: Final answer
    x = 672,655.63

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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.