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Finding the Third Proportional to 364,648 and 551,840

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Solution

The third proportional to 364,648 and 551,840 is: 835,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,648 : 551,840 = 551,840 : x
  2. Step 2: Convert to fraction form
    364,648/551,840 = 551,840/x
  3. Step 3: Cross multiply
    364,648x = 551,840 × 551,840
  4. Step 4: Simplify right side
    364,648x = 304,527,385,600
  5. Step 5: Solve for x
    x = 304,527,385,600/364,648
  6. Step 6: Final answer
    x = 835,126.99

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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.