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Finding the Third Proportional to 315,631.69 and 672,490.69

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Solution

The third proportional to 315,631.69 and 672,490.69 is: 1,432,821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,631.69 : 672,490.69 = 672,490.69 : x
  2. Step 2: Convert to fraction form
    315,631.69/672,490.69 = 672,490.69/x
  3. Step 3: Cross multiply
    315,631.69x = 672,490.69 × 672,490.69
  4. Step 4: Simplify right side
    315,631.69x = 452,243,724,774.22
  5. Step 5: Solve for x
    x = 452,243,724,774.22/315,631.69
  6. Step 6: Final answer
    x = 1,432,821.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.