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Finding the Third Proportional to 462,038 and 691,176

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Solution

The third proportional to 462,038 and 691,176 is: 1,033,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,038 : 691,176 = 691,176 : x
  2. Step 2: Convert to fraction form
    462,038/691,176 = 691,176/x
  3. Step 3: Cross multiply
    462,038x = 691,176 × 691,176
  4. Step 4: Simplify right side
    462,038x = 477,724,262,976
  5. Step 5: Solve for x
    x = 477,724,262,976/462,038
  6. Step 6: Final answer
    x = 1,033,950.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.