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Finding the Third Proportional to 205,487.44 and 322,430.34

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Solution

The third proportional to 205,487.44 and 322,430.34 is: 505,925.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,487.44 : 322,430.34 = 322,430.34 : x
  2. Step 2: Convert to fraction form
    205,487.44/322,430.34 = 322,430.34/x
  3. Step 3: Cross multiply
    205,487.44x = 322,430.34 × 322,430.34
  4. Step 4: Simplify right side
    205,487.44x = 103,961,326,570.74
  5. Step 5: Solve for x
    x = 103,961,326,570.74/205,487.44
  6. Step 6: Final answer
    x = 505,925.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.