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Finding the Third Proportional to 491,130.75 and 733,671

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Solution

The third proportional to 491,130.75 and 733,671 is: 1,095,987.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,130.75 : 733,671 = 733,671 : x
  2. Step 2: Convert to fraction form
    491,130.75/733,671 = 733,671/x
  3. Step 3: Cross multiply
    491,130.75x = 733,671 × 733,671
  4. Step 4: Simplify right side
    491,130.75x = 538,273,136,241
  5. Step 5: Solve for x
    x = 538,273,136,241/491,130.75
  6. Step 6: Final answer
    x = 1,095,987.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.