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Finding the Third Proportional to 383,098.50 and 563,530.50

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Solution

The third proportional to 383,098.50 and 563,530.50 is: 828,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,098.50 : 563,530.50 = 563,530.50 : x
  2. Step 2: Convert to fraction form
    383,098.50/563,530.50 = 563,530.50/x
  3. Step 3: Cross multiply
    383,098.50x = 563,530.50 × 563,530.50
  4. Step 4: Simplify right side
    383,098.50x = 317,566,624,430.25
  5. Step 5: Solve for x
    x = 317,566,624,430.25/383,098.50
  6. Step 6: Final answer
    x = 828,942.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.