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Finding the Third Proportional to 262,464 and 407,184

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Solution

The third proportional to 262,464 and 407,184 is: 631,701.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,464 : 407,184 = 407,184 : x
  2. Step 2: Convert to fraction form
    262,464/407,184 = 407,184/x
  3. Step 3: Cross multiply
    262,464x = 407,184 × 407,184
  4. Step 4: Simplify right side
    262,464x = 165,798,809,856
  5. Step 5: Solve for x
    x = 165,798,809,856/262,464
  6. Step 6: Final answer
    x = 631,701.15

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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.