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Finding the Third Proportional to 344,720 and 744,788

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Solution

The third proportional to 344,720 and 744,788 is: 1,609,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,720 : 744,788 = 744,788 : x
  2. Step 2: Convert to fraction form
    344,720/744,788 = 744,788/x
  3. Step 3: Cross multiply
    344,720x = 744,788 × 744,788
  4. Step 4: Simplify right side
    344,720x = 554,709,164,944
  5. Step 5: Solve for x
    x = 554,709,164,944/344,720
  6. Step 6: Final answer
    x = 1,609,158.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.