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Finding the Third Proportional to 341,430.19 and 747,908.44

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Solution

The third proportional to 341,430.19 and 747,908.44 is: 1,638,305.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,430.19 : 747,908.44 = 747,908.44 : x
  2. Step 2: Convert to fraction form
    341,430.19/747,908.44 = 747,908.44/x
  3. Step 3: Cross multiply
    341,430.19x = 747,908.44 × 747,908.44
  4. Step 4: Simplify right side
    341,430.19x = 559,367,030,883.69
  5. Step 5: Solve for x
    x = 559,367,030,883.69/341,430.19
  6. Step 6: Final answer
    x = 1,638,305.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.