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Finding the Third Proportional to 328,549.50 and 712,867.50

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Solution

The third proportional to 328,549.50 and 712,867.50 is: 1,546,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,549.50 : 712,867.50 = 712,867.50 : x
  2. Step 2: Convert to fraction form
    328,549.50/712,867.50 = 712,867.50/x
  3. Step 3: Cross multiply
    328,549.50x = 712,867.50 × 712,867.50
  4. Step 4: Simplify right side
    328,549.50x = 508,180,072,556.25
  5. Step 5: Solve for x
    x = 508,180,072,556.25/328,549.50
  6. Step 6: Final answer
    x = 1,546,738.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.