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Finding the Third Proportional to 262,554.75 and 407,331.75

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Solution

The third proportional to 262,554.75 and 407,331.75 is: 631,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,554.75 : 407,331.75 = 407,331.75 : x
  2. Step 2: Convert to fraction form
    262,554.75/407,331.75 = 407,331.75/x
  3. Step 3: Cross multiply
    262,554.75x = 407,331.75 × 407,331.75
  4. Step 4: Simplify right side
    262,554.75x = 165,919,154,558.06
  5. Step 5: Solve for x
    x = 165,919,154,558.06/262,554.75
  6. Step 6: Final answer
    x = 631,941.16

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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.