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Finding the Third Proportional to 209,925.84 and 449,801.02

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Solution

The third proportional to 209,925.84 and 449,801.02 is: 963,773.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,925.84 : 449,801.02 = 449,801.02 : x
  2. Step 2: Convert to fraction form
    209,925.84/449,801.02 = 449,801.02/x
  3. Step 3: Cross multiply
    209,925.84x = 449,801.02 × 449,801.02
  4. Step 4: Simplify right side
    209,925.84x = 202,320,953,657.28
  5. Step 5: Solve for x
    x = 202,320,953,657.28/209,925.84
  6. Step 6: Final answer
    x = 963,773.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.