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Finding the Third Proportional to 326,101.50 and 713,961

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Solution

The third proportional to 326,101.50 and 713,961 is: 1,563,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,101.50 : 713,961 = 713,961 : x
  2. Step 2: Convert to fraction form
    326,101.50/713,961 = 713,961/x
  3. Step 3: Cross multiply
    326,101.50x = 713,961 × 713,961
  4. Step 4: Simplify right side
    326,101.50x = 509,740,309,521
  5. Step 5: Solve for x
    x = 509,740,309,521/326,101.50
  6. Step 6: Final answer
    x = 1,563,133.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.