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Finding the Third Proportional to 491,176 and 733,730

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Solution

The third proportional to 491,176 and 733,730 is: 1,096,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,176 : 733,730 = 733,730 : x
  2. Step 2: Convert to fraction form
    491,176/733,730 = 733,730/x
  3. Step 3: Cross multiply
    491,176x = 733,730 × 733,730
  4. Step 4: Simplify right side
    491,176x = 538,359,712,900
  5. Step 5: Solve for x
    x = 538,359,712,900/491,176
  6. Step 6: Final answer
    x = 1,096,062.74

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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.