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Finding the Third Proportional to 566,824.50 and 877,618.13

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Solution

The third proportional to 566,824.50 and 877,618.13 is: 1,358,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,824.50 : 877,618.13 = 877,618.13 : x
  2. Step 2: Convert to fraction form
    566,824.50/877,618.13 = 877,618.13/x
  3. Step 3: Cross multiply
    566,824.50x = 877,618.13 × 877,618.13
  4. Step 4: Simplify right side
    566,824.50x = 770,213,573,328.52
  5. Step 5: Solve for x
    x = 770,213,573,328.52/566,824.50
  6. Step 6: Final answer
    x = 1,358,821.95

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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.