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Finding the Third Proportional to 336,843.56 and 535,693.50

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Solution

The third proportional to 336,843.56 and 535,693.50 is: 851,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,843.56 : 535,693.50 = 535,693.50 : x
  2. Step 2: Convert to fraction form
    336,843.56/535,693.50 = 535,693.50/x
  3. Step 3: Cross multiply
    336,843.56x = 535,693.50 × 535,693.50
  4. Step 4: Simplify right side
    336,843.56x = 286,967,525,942.25
  5. Step 5: Solve for x
    x = 286,967,525,942.25/336,843.56
  6. Step 6: Final answer
    x = 851,931.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.