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Finding the Third Proportional to 362,464 and 551,688

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Solution

The third proportional to 362,464 and 551,688 is: 839,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,464 : 551,688 = 551,688 : x
  2. Step 2: Convert to fraction form
    362,464/551,688 = 551,688/x
  3. Step 3: Cross multiply
    362,464x = 551,688 × 551,688
  4. Step 4: Simplify right side
    362,464x = 304,359,649,344
  5. Step 5: Solve for x
    x = 304,359,649,344/362,464
  6. Step 6: Final answer
    x = 839,696.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.