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Finding the Third Proportional to 508,696.45 and 787,312.41

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Solution

The third proportional to 508,696.45 and 787,312.41 is: 1,218,527.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,696.45 : 787,312.41 = 787,312.41 : x
  2. Step 2: Convert to fraction form
    508,696.45/787,312.41 = 787,312.41/x
  3. Step 3: Cross multiply
    508,696.45x = 787,312.41 × 787,312.41
  4. Step 4: Simplify right side
    508,696.45x = 619,860,825,035.17
  5. Step 5: Solve for x
    x = 619,860,825,035.17/508,696.45
  6. Step 6: Final answer
    x = 1,218,527.91

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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.