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Finding the Third Proportional to 334,530.56 and 538,643.25

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Solution

The third proportional to 334,530.56 and 538,643.25 is: 867,294.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,530.56 : 538,643.25 = 538,643.25 : x
  2. Step 2: Convert to fraction form
    334,530.56/538,643.25 = 538,643.25/x
  3. Step 3: Cross multiply
    334,530.56x = 538,643.25 × 538,643.25
  4. Step 4: Simplify right side
    334,530.56x = 290,136,550,770.56
  5. Step 5: Solve for x
    x = 290,136,550,770.56/334,530.56
  6. Step 6: Final answer
    x = 867,294.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.