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Finding the Third Proportional to 249,633.14 and 545,876.72

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Solution

The third proportional to 249,633.14 and 545,876.72 is: 1,193,677.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,633.14 : 545,876.72 = 545,876.72 : x
  2. Step 2: Convert to fraction form
    249,633.14/545,876.72 = 545,876.72/x
  3. Step 3: Cross multiply
    249,633.14x = 545,876.72 × 545,876.72
  4. Step 4: Simplify right side
    249,633.14x = 297,981,392,073.27
  5. Step 5: Solve for x
    x = 297,981,392,073.27/249,633.14
  6. Step 6: Final answer
    x = 1,193,677.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.