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Finding the Third Proportional to 344,565 and 730,044

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Solution

The third proportional to 344,565 and 730,044 is: 1,546,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,565 : 730,044 = 730,044 : x
  2. Step 2: Convert to fraction form
    344,565/730,044 = 730,044/x
  3. Step 3: Cross multiply
    344,565x = 730,044 × 730,044
  4. Step 4: Simplify right side
    344,565x = 532,964,241,936
  5. Step 5: Solve for x
    x = 532,964,241,936/344,565
  6. Step 6: Final answer
    x = 1,546,774.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.