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Finding the Third Proportional to 600,379.41 and 928,624.59

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Solution

The third proportional to 600,379.41 and 928,624.59 is: 1,436,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,379.41 : 928,624.59 = 928,624.59 : x
  2. Step 2: Convert to fraction form
    600,379.41/928,624.59 = 928,624.59/x
  3. Step 3: Cross multiply
    600,379.41x = 928,624.59 × 928,624.59
  4. Step 4: Simplify right side
    600,379.41x = 862,343,636,117.35
  5. Step 5: Solve for x
    x = 862,343,636,117.35/600,379.41
  6. Step 6: Final answer
    x = 1,436,331.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.