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Finding the Third Proportional to 319,866 and 684,024

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Solution

The third proportional to 319,866 and 684,024 is: 1,462,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,866 : 684,024 = 684,024 : x
  2. Step 2: Convert to fraction form
    319,866/684,024 = 684,024/x
  3. Step 3: Cross multiply
    319,866x = 684,024 × 684,024
  4. Step 4: Simplify right side
    319,866x = 467,888,832,576
  5. Step 5: Solve for x
    x = 467,888,832,576/319,866
  6. Step 6: Final answer
    x = 1,462,765.13

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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.