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Finding the Third Proportional to 336,904 and 732,044

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Solution

The third proportional to 336,904 and 732,044 is: 1,590,626.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,904 : 732,044 = 732,044 : x
  2. Step 2: Convert to fraction form
    336,904/732,044 = 732,044/x
  3. Step 3: Cross multiply
    336,904x = 732,044 × 732,044
  4. Step 4: Simplify right side
    336,904x = 535,888,417,936
  5. Step 5: Solve for x
    x = 535,888,417,936/336,904
  6. Step 6: Final answer
    x = 1,590,626.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.