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Finding the Third Proportional to 344,146 and 738,098

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Solution

The third proportional to 344,146 and 738,098 is: 1,583,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,146 : 738,098 = 738,098 : x
  2. Step 2: Convert to fraction form
    344,146/738,098 = 738,098/x
  3. Step 3: Cross multiply
    344,146x = 738,098 × 738,098
  4. Step 4: Simplify right side
    344,146x = 544,788,657,604
  5. Step 5: Solve for x
    x = 544,788,657,604/344,146
  6. Step 6: Final answer
    x = 1,583,016.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.