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Finding the Third Proportional to 405,370.13 and 938,323.13

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Solution

The third proportional to 405,370.13 and 938,323.13 is: 2,171,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,370.13 : 938,323.13 = 938,323.13 : x
  2. Step 2: Convert to fraction form
    405,370.13/938,323.13 = 938,323.13/x
  3. Step 3: Cross multiply
    405,370.13x = 938,323.13 × 938,323.13
  4. Step 4: Simplify right side
    405,370.13x = 880,450,286,909.77
  5. Step 5: Solve for x
    x = 880,450,286,909.77/405,370.13
  6. Step 6: Final answer
    x = 2,171,966.39

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.