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Finding the Third Proportional to 235,009.50 and 501,727.50

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Solution

The third proportional to 235,009.50 and 501,727.50 is: 1,071,150.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,009.50 : 501,727.50 = 501,727.50 : x
  2. Step 2: Convert to fraction form
    235,009.50/501,727.50 = 501,727.50/x
  3. Step 3: Cross multiply
    235,009.50x = 501,727.50 × 501,727.50
  4. Step 4: Simplify right side
    235,009.50x = 251,730,484,256.25
  5. Step 5: Solve for x
    x = 251,730,484,256.25/235,009.50
  6. Step 6: Final answer
    x = 1,071,150.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.