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Finding the Third Proportional to 344,790 and 731,046

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Solution

The third proportional to 344,790 and 731,046 is: 1,550,010.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,790 : 731,046 = 731,046 : x
  2. Step 2: Convert to fraction form
    344,790/731,046 = 731,046/x
  3. Step 3: Cross multiply
    344,790x = 731,046 × 731,046
  4. Step 4: Simplify right side
    344,790x = 534,428,254,116
  5. Step 5: Solve for x
    x = 534,428,254,116/344,790
  6. Step 6: Final answer
    x = 1,550,010.89

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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.