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Finding the Third Proportional to 364,626 and 551,970

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Solution

The third proportional to 364,626 and 551,970 is: 835,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,626 : 551,970 = 551,970 : x
  2. Step 2: Convert to fraction form
    364,626/551,970 = 551,970/x
  3. Step 3: Cross multiply
    364,626x = 551,970 × 551,970
  4. Step 4: Simplify right side
    364,626x = 304,670,880,900
  5. Step 5: Solve for x
    x = 304,670,880,900/364,626
  6. Step 6: Final answer
    x = 835,570.92

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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.