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Finding the Third Proportional to 370,696.50 and 501,369.75

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Solution

The third proportional to 370,696.50 and 501,369.75 is: 678,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,696.50 : 501,369.75 = 501,369.75 : x
  2. Step 2: Convert to fraction form
    370,696.50/501,369.75 = 501,369.75/x
  3. Step 3: Cross multiply
    370,696.50x = 501,369.75 × 501,369.75
  4. Step 4: Simplify right side
    370,696.50x = 251,371,626,215.06
  5. Step 5: Solve for x
    x = 251,371,626,215.06/370,696.50
  6. Step 6: Final answer
    x = 678,106.28

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.