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Finding the Third Proportional to 474,143.50 and 708,407

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Solution

The third proportional to 474,143.50 and 708,407 is: 1,058,414.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,143.50 : 708,407 = 708,407 : x
  2. Step 2: Convert to fraction form
    474,143.50/708,407 = 708,407/x
  3. Step 3: Cross multiply
    474,143.50x = 708,407 × 708,407
  4. Step 4: Simplify right side
    474,143.50x = 501,840,477,649
  5. Step 5: Solve for x
    x = 501,840,477,649/474,143.50
  6. Step 6: Final answer
    x = 1,058,414.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.