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Finding the Third Proportional to 318,752 and 693,586

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Solution

The third proportional to 318,752 and 693,586 is: 1,509,203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,752 : 693,586 = 693,586 : x
  2. Step 2: Convert to fraction form
    318,752/693,586 = 693,586/x
  3. Step 3: Cross multiply
    318,752x = 693,586 × 693,586
  4. Step 4: Simplify right side
    318,752x = 481,061,539,396
  5. Step 5: Solve for x
    x = 481,061,539,396/318,752
  6. Step 6: Final answer
    x = 1,509,203.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.