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Finding the Third Proportional to 344,796 and 731,056

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Solution

The third proportional to 344,796 and 731,056 is: 1,550,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,796 : 731,056 = 731,056 : x
  2. Step 2: Convert to fraction form
    344,796/731,056 = 731,056/x
  3. Step 3: Cross multiply
    344,796x = 731,056 × 731,056
  4. Step 4: Simplify right side
    344,796x = 534,442,875,136
  5. Step 5: Solve for x
    x = 534,442,875,136/344,796
  6. Step 6: Final answer
    x = 1,550,026.32

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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.