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Finding the Third Proportional to 208,877.63 and 456,877.69

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Solution

The third proportional to 208,877.63 and 456,877.69 is: 999,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,877.63 : 456,877.69 = 456,877.69 : x
  2. Step 2: Convert to fraction form
    208,877.63/456,877.69 = 456,877.69/x
  3. Step 3: Cross multiply
    208,877.63x = 456,877.69 × 456,877.69
  4. Step 4: Simplify right side
    208,877.63x = 208,737,221,335.35
  5. Step 5: Solve for x
    x = 208,737,221,335.35/208,877.63
  6. Step 6: Final answer
    x = 999,327.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.