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Finding the Third Proportional to 317,007 and 692,793

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Solution

The third proportional to 317,007 and 692,793 is: 1,514,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,007 : 692,793 = 692,793 : x
  2. Step 2: Convert to fraction form
    317,007/692,793 = 692,793/x
  3. Step 3: Cross multiply
    317,007x = 692,793 × 692,793
  4. Step 4: Simplify right side
    317,007x = 479,962,140,849
  5. Step 5: Solve for x
    x = 479,962,140,849/317,007
  6. Step 6: Final answer
    x = 1,514,042.72

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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.