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Finding the Third Proportional to 448,904 and 748,088

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Solution

The third proportional to 448,904 and 748,088 is: 1,246,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,904 : 748,088 = 748,088 : x
  2. Step 2: Convert to fraction form
    448,904/748,088 = 748,088/x
  3. Step 3: Cross multiply
    448,904x = 748,088 × 748,088
  4. Step 4: Simplify right side
    448,904x = 559,635,655,744
  5. Step 5: Solve for x
    x = 559,635,655,744/448,904
  6. Step 6: Final answer
    x = 1,246,671.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.