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Finding the Third Proportional to 319,316 and 532,173

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Solution

The third proportional to 319,316 and 532,173 is: 886,921.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,316 : 532,173 = 532,173 : x
  2. Step 2: Convert to fraction form
    319,316/532,173 = 532,173/x
  3. Step 3: Cross multiply
    319,316x = 532,173 × 532,173
  4. Step 4: Simplify right side
    319,316x = 283,208,101,929
  5. Step 5: Solve for x
    x = 283,208,101,929/319,316
  6. Step 6: Final answer
    x = 886,921.11

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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.