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Finding the Third Proportional to 210,054.52 and 455,476.92

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Solution

The third proportional to 210,054.52 and 455,476.92 is: 987,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,054.52 : 455,476.92 = 455,476.92 : x
  2. Step 2: Convert to fraction form
    210,054.52/455,476.92 = 455,476.92/x
  3. Step 3: Cross multiply
    210,054.52x = 455,476.92 × 455,476.92
  4. Step 4: Simplify right side
    210,054.52x = 207,459,226,360.73
  5. Step 5: Solve for x
    x = 207,459,226,360.73/210,054.52
  6. Step 6: Final answer
    x = 987,644.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.