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Finding the Third Proportional to 367,312.50 and 538,384.50

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Solution

The third proportional to 367,312.50 and 538,384.50 is: 789,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,312.50 : 538,384.50 = 538,384.50 : x
  2. Step 2: Convert to fraction form
    367,312.50/538,384.50 = 538,384.50/x
  3. Step 3: Cross multiply
    367,312.50x = 538,384.50 × 538,384.50
  4. Step 4: Simplify right side
    367,312.50x = 289,857,869,840.25
  5. Step 5: Solve for x
    x = 289,857,869,840.25/367,312.50
  6. Step 6: Final answer
    x = 789,131.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.