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Finding the Third Proportional to 329,929.50 and 510,056.44

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Solution

The third proportional to 329,929.50 and 510,056.44 is: 788,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,929.50 : 510,056.44 = 510,056.44 : x
  2. Step 2: Convert to fraction form
    329,929.50/510,056.44 = 510,056.44/x
  3. Step 3: Cross multiply
    329,929.50x = 510,056.44 × 510,056.44
  4. Step 4: Simplify right side
    329,929.50x = 260,157,569,435.19
  5. Step 5: Solve for x
    x = 260,157,569,435.19/329,929.50
  6. Step 6: Final answer
    x = 788,524.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.