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Finding the Third Proportional to 342,045 and 749,760

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Solution

The third proportional to 342,045 and 749,760 is: 1,643,468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,045 : 749,760 = 749,760 : x
  2. Step 2: Convert to fraction form
    342,045/749,760 = 749,760/x
  3. Step 3: Cross multiply
    342,045x = 749,760 × 749,760
  4. Step 4: Simplify right side
    342,045x = 562,140,057,600
  5. Step 5: Solve for x
    x = 562,140,057,600/342,045
  6. Step 6: Final answer
    x = 1,643,468.13

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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.