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Finding the Third Proportional to 262,460.25 and 407,176.88

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Solution

The third proportional to 262,460.25 and 407,176.88 is: 631,688.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,460.25 : 407,176.88 = 407,176.88 : x
  2. Step 2: Convert to fraction form
    262,460.25/407,176.88 = 407,176.88/x
  3. Step 3: Cross multiply
    262,460.25x = 407,176.88 × 407,176.88
  4. Step 4: Simplify right side
    262,460.25x = 165,793,007,534.77
  5. Step 5: Solve for x
    x = 165,793,007,534.77/262,460.25
  6. Step 6: Final answer
    x = 631,688.07

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