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Finding the Third Proportional to 383,770 and 575,700

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Solution

The third proportional to 383,770 and 575,700 is: 863,617.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,770 : 575,700 = 575,700 : x
  2. Step 2: Convert to fraction form
    383,770/575,700 = 575,700/x
  3. Step 3: Cross multiply
    383,770x = 575,700 × 575,700
  4. Step 4: Simplify right side
    383,770x = 331,430,490,000
  5. Step 5: Solve for x
    x = 331,430,490,000/383,770
  6. Step 6: Final answer
    x = 863,617.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.