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Finding the Third Proportional to 472,549.50 and 712,212

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Solution

The third proportional to 472,549.50 and 712,212 is: 1,073,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,549.50 : 712,212 = 712,212 : x
  2. Step 2: Convert to fraction form
    472,549.50/712,212 = 712,212/x
  3. Step 3: Cross multiply
    472,549.50x = 712,212 × 712,212
  4. Step 4: Simplify right side
    472,549.50x = 507,245,932,944
  5. Step 5: Solve for x
    x = 507,245,932,944/472,549.50
  6. Step 6: Final answer
    x = 1,073,423.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.