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Finding the Third Proportional to 508,736 and 748,308

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Solution

The third proportional to 508,736 and 748,308 is: 1,100,698.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,736 : 748,308 = 748,308 : x
  2. Step 2: Convert to fraction form
    508,736/748,308 = 748,308/x
  3. Step 3: Cross multiply
    508,736x = 748,308 × 748,308
  4. Step 4: Simplify right side
    508,736x = 559,964,862,864
  5. Step 5: Solve for x
    x = 559,964,862,864/508,736
  6. Step 6: Final answer
    x = 1,100,698.32

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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.