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Finding the Third Proportional to 300,514 and 634,562

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Solution

The third proportional to 300,514 and 634,562 is: 1,339,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,514 : 634,562 = 634,562 : x
  2. Step 2: Convert to fraction form
    300,514/634,562 = 634,562/x
  3. Step 3: Cross multiply
    300,514x = 634,562 × 634,562
  4. Step 4: Simplify right side
    300,514x = 402,668,931,844
  5. Step 5: Solve for x
    x = 402,668,931,844/300,514
  6. Step 6: Final answer
    x = 1,339,934.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.