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Finding the Third Proportional to 314,092.69 and 500,276.25

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Solution

The third proportional to 314,092.69 and 500,276.25 is: 796,823.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,092.69 : 500,276.25 = 500,276.25 : x
  2. Step 2: Convert to fraction form
    314,092.69/500,276.25 = 500,276.25/x
  3. Step 3: Cross multiply
    314,092.69x = 500,276.25 × 500,276.25
  4. Step 4: Simplify right side
    314,092.69x = 250,276,326,314.06
  5. Step 5: Solve for x
    x = 250,276,326,314.06/314,092.69
  6. Step 6: Final answer
    x = 796,823.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.