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Finding the Third Proportional to 249,514 and 545,684

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Solution

The third proportional to 249,514 and 545,684 is: 1,193,404.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,514 : 545,684 = 545,684 : x
  2. Step 2: Convert to fraction form
    249,514/545,684 = 545,684/x
  3. Step 3: Cross multiply
    249,514x = 545,684 × 545,684
  4. Step 4: Simplify right side
    249,514x = 297,771,027,856
  5. Step 5: Solve for x
    x = 297,771,027,856/249,514
  6. Step 6: Final answer
    x = 1,193,404.09

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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.