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Finding the Third Proportional to 319,631.91 and 532,653.47

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Solution

The third proportional to 319,631.91 and 532,653.47 is: 887,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,631.91 : 532,653.47 = 532,653.47 : x
  2. Step 2: Convert to fraction form
    319,631.91/532,653.47 = 532,653.47/x
  3. Step 3: Cross multiply
    319,631.91x = 532,653.47 × 532,653.47
  4. Step 4: Simplify right side
    319,631.91x = 283,719,717,771.41
  5. Step 5: Solve for x
    x = 283,719,717,771.41/319,631.91
  6. Step 6: Final answer
    x = 887,645.17

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.