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Finding the Third Proportional to 369,047 and 551,642

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Solution

The third proportional to 369,047 and 551,642 is: 824,580.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,047 : 551,642 = 551,642 : x
  2. Step 2: Convert to fraction form
    369,047/551,642 = 551,642/x
  3. Step 3: Cross multiply
    369,047x = 551,642 × 551,642
  4. Step 4: Simplify right side
    369,047x = 304,308,896,164
  5. Step 5: Solve for x
    x = 304,308,896,164/369,047
  6. Step 6: Final answer
    x = 824,580.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.