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Finding the Third Proportional to 316,273.50 and 502,564.50

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Solution

The third proportional to 316,273.50 and 502,564.50 is: 798,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,273.50 : 502,564.50 = 502,564.50 : x
  2. Step 2: Convert to fraction form
    316,273.50/502,564.50 = 502,564.50/x
  3. Step 3: Cross multiply
    316,273.50x = 502,564.50 × 502,564.50
  4. Step 4: Simplify right side
    316,273.50x = 252,571,076,660.25
  5. Step 5: Solve for x
    x = 252,571,076,660.25/316,273.50
  6. Step 6: Final answer
    x = 798,584.38

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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.