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Finding the Third Proportional to 262,553.63 and 407,331

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Solution

The third proportional to 262,553.63 and 407,331 is: 631,941.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,553.63 : 407,331 = 407,331 : x
  2. Step 2: Convert to fraction form
    262,553.63/407,331 = 407,331/x
  3. Step 3: Cross multiply
    262,553.63x = 407,331 × 407,331
  4. Step 4: Simplify right side
    262,553.63x = 165,918,543,561
  5. Step 5: Solve for x
    x = 165,918,543,561/262,553.63
  6. Step 6: Final answer
    x = 631,941.55

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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.