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Finding the Third Proportional to 285,752 and 431,220

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Solution

The third proportional to 285,752 and 431,220 is: 650,741.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,752 : 431,220 = 431,220 : x
  2. Step 2: Convert to fraction form
    285,752/431,220 = 431,220/x
  3. Step 3: Cross multiply
    285,752x = 431,220 × 431,220
  4. Step 4: Simplify right side
    285,752x = 185,950,688,400
  5. Step 5: Solve for x
    x = 185,950,688,400/285,752
  6. Step 6: Final answer
    x = 650,741.51

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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.