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Finding the Third Proportional to 385,213.50 and 598,801.50

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Solution

The third proportional to 385,213.50 and 598,801.50 is: 930,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,213.50 : 598,801.50 = 598,801.50 : x
  2. Step 2: Convert to fraction form
    385,213.50/598,801.50 = 598,801.50/x
  3. Step 3: Cross multiply
    385,213.50x = 598,801.50 × 598,801.50
  4. Step 4: Simplify right side
    385,213.50x = 358,563,236,402.25
  5. Step 5: Solve for x
    x = 358,563,236,402.25/385,213.50
  6. Step 6: Final answer
    x = 930,816.90

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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.