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Finding the Third Proportional to 449,884.13 and 715,467.94

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Solution

The third proportional to 449,884.13 and 715,467.94 is: 1,137,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,884.13 : 715,467.94 = 715,467.94 : x
  2. Step 2: Convert to fraction form
    449,884.13/715,467.94 = 715,467.94/x
  3. Step 3: Cross multiply
    449,884.13x = 715,467.94 × 715,467.94
  4. Step 4: Simplify right side
    449,884.13x = 511,894,369,590.50
  5. Step 5: Solve for x
    x = 511,894,369,590.50/449,884.13
  6. Step 6: Final answer
    x = 1,137,836.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.