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Finding the Third Proportional to 326,713.50 and 700,083

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Solution

The third proportional to 326,713.50 and 700,083 is: 1,500,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,713.50 : 700,083 = 700,083 : x
  2. Step 2: Convert to fraction form
    326,713.50/700,083 = 700,083/x
  3. Step 3: Cross multiply
    326,713.50x = 700,083 × 700,083
  4. Step 4: Simplify right side
    326,713.50x = 490,116,206,889
  5. Step 5: Solve for x
    x = 490,116,206,889/326,713.50
  6. Step 6: Final answer
    x = 1,500,140.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.