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Finding the Third Proportional to 326,061 and 501,241.50

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Solution

The third proportional to 326,061 and 501,241.50 is: 770,540.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,061 : 501,241.50 = 501,241.50 : x
  2. Step 2: Convert to fraction form
    326,061/501,241.50 = 501,241.50/x
  3. Step 3: Cross multiply
    326,061x = 501,241.50 × 501,241.50
  4. Step 4: Simplify right side
    326,061x = 251,243,041,322.25
  5. Step 5: Solve for x
    x = 251,243,041,322.25/326,061
  6. Step 6: Final answer
    x = 770,540.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.