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Finding the Third Proportional to 566,908.50 and 877,747.50

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Solution

The third proportional to 566,908.50 and 877,747.50 is: 1,359,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,908.50 : 877,747.50 = 877,747.50 : x
  2. Step 2: Convert to fraction form
    566,908.50/877,747.50 = 877,747.50/x
  3. Step 3: Cross multiply
    566,908.50x = 877,747.50 × 877,747.50
  4. Step 4: Simplify right side
    566,908.50x = 770,440,673,756.25
  5. Step 5: Solve for x
    x = 770,440,673,756.25/566,908.50
  6. Step 6: Final answer
    x = 1,359,021.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.