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Finding the Third Proportional to 364,304 and 553,836

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Solution

The third proportional to 364,304 and 553,836 is: 841,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,304 : 553,836 = 553,836 : x
  2. Step 2: Convert to fraction form
    364,304/553,836 = 553,836/x
  3. Step 3: Cross multiply
    364,304x = 553,836 × 553,836
  4. Step 4: Simplify right side
    364,304x = 306,734,314,896
  5. Step 5: Solve for x
    x = 306,734,314,896/364,304
  6. Step 6: Final answer
    x = 841,973.50

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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.