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Finding the Third Proportional to 304,813.13 and 452,806.88

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Solution

The third proportional to 304,813.13 and 452,806.88 is: 672,654.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,813.13 : 452,806.88 = 452,806.88 : x
  2. Step 2: Convert to fraction form
    304,813.13/452,806.88 = 452,806.88/x
  3. Step 3: Cross multiply
    304,813.13x = 452,806.88 × 452,806.88
  4. Step 4: Simplify right side
    304,813.13x = 205,034,066,047.27
  5. Step 5: Solve for x
    x = 205,034,066,047.27/304,813.13
  6. Step 6: Final answer
    x = 672,654.98

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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.