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Finding the Third Proportional to 508,536 and 747,036

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Solution

The third proportional to 508,536 and 747,036 is: 1,097,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,536 : 747,036 = 747,036 : x
  2. Step 2: Convert to fraction form
    508,536/747,036 = 747,036/x
  3. Step 3: Cross multiply
    508,536x = 747,036 × 747,036
  4. Step 4: Simplify right side
    508,536x = 558,062,785,296
  5. Step 5: Solve for x
    x = 558,062,785,296/508,536
  6. Step 6: Final answer
    x = 1,097,390.91

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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.