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Finding the Third Proportional to 383,592.50 and 567,954.50

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Solution

The third proportional to 383,592.50 and 567,954.50 is: 840,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,592.50 : 567,954.50 = 567,954.50 : x
  2. Step 2: Convert to fraction form
    383,592.50/567,954.50 = 567,954.50/x
  3. Step 3: Cross multiply
    383,592.50x = 567,954.50 × 567,954.50
  4. Step 4: Simplify right side
    383,592.50x = 322,572,314,070.25
  5. Step 5: Solve for x
    x = 322,572,314,070.25/383,592.50
  6. Step 6: Final answer
    x = 840,924.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.