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Finding the Third Proportional to 459,636 and 713,514

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Solution

The third proportional to 459,636 and 713,514 is: 1,107,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,636 : 713,514 = 713,514 : x
  2. Step 2: Convert to fraction form
    459,636/713,514 = 713,514/x
  3. Step 3: Cross multiply
    459,636x = 713,514 × 713,514
  4. Step 4: Simplify right side
    459,636x = 509,102,228,196
  5. Step 5: Solve for x
    x = 509,102,228,196/459,636
  6. Step 6: Final answer
    x = 1,107,620.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.