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Finding the Third Proportional to 472,192.50 and 712,242

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Solution

The third proportional to 472,192.50 and 712,242 is: 1,074,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,192.50 : 712,242 = 712,242 : x
  2. Step 2: Convert to fraction form
    472,192.50/712,242 = 712,242/x
  3. Step 3: Cross multiply
    472,192.50x = 712,242 × 712,242
  4. Step 4: Simplify right side
    472,192.50x = 507,288,666,564
  5. Step 5: Solve for x
    x = 507,288,666,564/472,192.50
  6. Step 6: Final answer
    x = 1,074,325.97

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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.