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Finding the Third Proportional to 385,274.25 and 613,588.50

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Solution

The third proportional to 385,274.25 and 613,588.50 is: 977,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,274.25 : 613,588.50 = 613,588.50 : x
  2. Step 2: Convert to fraction form
    385,274.25/613,588.50 = 613,588.50/x
  3. Step 3: Cross multiply
    385,274.25x = 613,588.50 × 613,588.50
  4. Step 4: Simplify right side
    385,274.25x = 376,490,847,332.25
  5. Step 5: Solve for x
    x = 376,490,847,332.25/385,274.25
  6. Step 6: Final answer
    x = 977,202.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.