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Finding the Third Proportional to 219,526.88 and 478,834.88

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Solution

The third proportional to 219,526.88 and 478,834.88 is: 1,044,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,526.88 : 478,834.88 = 478,834.88 : x
  2. Step 2: Convert to fraction form
    219,526.88/478,834.88 = 478,834.88/x
  3. Step 3: Cross multiply
    219,526.88x = 478,834.88 × 478,834.88
  4. Step 4: Simplify right side
    219,526.88x = 229,282,837,516.27
  5. Step 5: Solve for x
    x = 229,282,837,516.27/219,526.88
  6. Step 6: Final answer
    x = 1,044,440.86

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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.