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Finding the Third Proportional to 345,565.50 and 515,683.50

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Solution

The third proportional to 345,565.50 and 515,683.50 is: 769,548.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,565.50 : 515,683.50 = 515,683.50 : x
  2. Step 2: Convert to fraction form
    345,565.50/515,683.50 = 515,683.50/x
  3. Step 3: Cross multiply
    345,565.50x = 515,683.50 × 515,683.50
  4. Step 4: Simplify right side
    345,565.50x = 265,929,472,172.25
  5. Step 5: Solve for x
    x = 265,929,472,172.25/345,565.50
  6. Step 6: Final answer
    x = 769,548.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.