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Finding the Third Proportional to 344,155 and 738,118

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Solution

The third proportional to 344,155 and 738,118 is: 1,583,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,155 : 738,118 = 738,118 : x
  2. Step 2: Convert to fraction form
    344,155/738,118 = 738,118/x
  3. Step 3: Cross multiply
    344,155x = 738,118 × 738,118
  4. Step 4: Simplify right side
    344,155x = 544,818,181,924
  5. Step 5: Solve for x
    x = 544,818,181,924/344,155
  6. Step 6: Final answer
    x = 1,583,060.49

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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.