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Finding the Third Proportional to 496,843.88 and 788,032.13

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Solution

The third proportional to 496,843.88 and 788,032.13 is: 1,249,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,843.88 : 788,032.13 = 788,032.13 : x
  2. Step 2: Convert to fraction form
    496,843.88/788,032.13 = 788,032.13/x
  3. Step 3: Cross multiply
    496,843.88x = 788,032.13 × 788,032.13
  4. Step 4: Simplify right side
    496,843.88x = 620,994,630,032.02
  5. Step 5: Solve for x
    x = 620,994,630,032.02/496,843.88
  6. Step 6: Final answer
    x = 1,249,878.81

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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.