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Finding the Third Proportional to 319,985 and 685,510

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Solution

The third proportional to 319,985 and 685,510 is: 1,468,581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,985 : 685,510 = 685,510 : x
  2. Step 2: Convert to fraction form
    319,985/685,510 = 685,510/x
  3. Step 3: Cross multiply
    319,985x = 685,510 × 685,510
  4. Step 4: Simplify right side
    319,985x = 469,923,960,100
  5. Step 5: Solve for x
    x = 469,923,960,100/319,985
  6. Step 6: Final answer
    x = 1,468,581.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.