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Finding the Third Proportional to 356,837.91 and 546,560.16

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Solution

The third proportional to 356,837.91 and 546,560.16 is: 837,153.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,837.91 : 546,560.16 = 546,560.16 : x
  2. Step 2: Convert to fraction form
    356,837.91/546,560.16 = 546,560.16/x
  3. Step 3: Cross multiply
    356,837.91x = 546,560.16 × 546,560.16
  4. Step 4: Simplify right side
    356,837.91x = 298,728,004,400.02
  5. Step 5: Solve for x
    x = 298,728,004,400.02/356,837.91
  6. Step 6: Final answer
    x = 837,153.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.