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Finding the Third Proportional to 369,170.16 and 569,505.09

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Solution

The third proportional to 369,170.16 and 569,505.09 is: 878,554.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,170.16 : 569,505.09 = 569,505.09 : x
  2. Step 2: Convert to fraction form
    369,170.16/569,505.09 = 569,505.09/x
  3. Step 3: Cross multiply
    369,170.16x = 569,505.09 × 569,505.09
  4. Step 4: Simplify right side
    369,170.16x = 324,336,051,807.20
  5. Step 5: Solve for x
    x = 324,336,051,807.20/369,170.16
  6. Step 6: Final answer
    x = 878,554.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.