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Finding the Third Proportional to 364,443.05 and 551,431.55

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Solution

The third proportional to 364,443.05 and 551,431.55 is: 834,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,443.05 : 551,431.55 = 551,431.55 : x
  2. Step 2: Convert to fraction form
    364,443.05/551,431.55 = 551,431.55/x
  3. Step 3: Cross multiply
    364,443.05x = 551,431.55 × 551,431.55
  4. Step 4: Simplify right side
    364,443.05x = 304,076,750,888.96
  5. Step 5: Solve for x
    x = 304,076,750,888.96/364,443.05
  6. Step 6: Final answer
    x = 834,360.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.