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Finding the Third Proportional to 385,801.88 and 573,114.38

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Solution

The third proportional to 385,801.88 and 573,114.38 is: 851,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,801.88 : 573,114.38 = 573,114.38 : x
  2. Step 2: Convert to fraction form
    385,801.88/573,114.38 = 573,114.38/x
  3. Step 3: Cross multiply
    385,801.88x = 573,114.38 × 573,114.38
  4. Step 4: Simplify right side
    385,801.88x = 328,460,086,831.64
  5. Step 5: Solve for x
    x = 328,460,086,831.64/385,801.88
  6. Step 6: Final answer
    x = 851,369.86

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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.