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Finding the Third Proportional to 383,320.50 and 561,038.50

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Solution

The third proportional to 383,320.50 and 561,038.50 is: 821,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,320.50 : 561,038.50 = 561,038.50 : x
  2. Step 2: Convert to fraction form
    383,320.50/561,038.50 = 561,038.50/x
  3. Step 3: Cross multiply
    383,320.50x = 561,038.50 × 561,038.50
  4. Step 4: Simplify right side
    383,320.50x = 314,764,198,482.25
  5. Step 5: Solve for x
    x = 314,764,198,482.25/383,320.50
  6. Step 6: Final answer
    x = 821,151.49

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.