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Finding the Third Proportional to 326,938.50 and 705,484.13

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Solution

The third proportional to 326,938.50 and 705,484.13 is: 1,522,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,938.50 : 705,484.13 = 705,484.13 : x
  2. Step 2: Convert to fraction form
    326,938.50/705,484.13 = 705,484.13/x
  3. Step 3: Cross multiply
    326,938.50x = 705,484.13 × 705,484.13
  4. Step 4: Simplify right side
    326,938.50x = 497,707,850,627.02
  5. Step 5: Solve for x
    x = 497,707,850,627.02/326,938.50
  6. Step 6: Final answer
    x = 1,522,328.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.