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Finding the Third Proportional to 208,528.59 and 455,284.13

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Solution

The third proportional to 208,528.59 and 455,284.13 is: 994,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,528.59 : 455,284.13 = 455,284.13 : x
  2. Step 2: Convert to fraction form
    208,528.59/455,284.13 = 455,284.13/x
  3. Step 3: Cross multiply
    208,528.59x = 455,284.13 × 455,284.13
  4. Step 4: Simplify right side
    208,528.59x = 207,283,634,477.02
  5. Step 5: Solve for x
    x = 207,283,634,477.02/208,528.59
  6. Step 6: Final answer
    x = 994,029.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.