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Finding the Third Proportional to 364,643 and 551,996

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Solution

The third proportional to 364,643 and 551,996 is: 835,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,643 : 551,996 = 551,996 : x
  2. Step 2: Convert to fraction form
    364,643/551,996 = 551,996/x
  3. Step 3: Cross multiply
    364,643x = 551,996 × 551,996
  4. Step 4: Simplify right side
    364,643x = 304,699,584,016
  5. Step 5: Solve for x
    x = 304,699,584,016/364,643
  6. Step 6: Final answer
    x = 835,610.68

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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.