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Finding the Third Proportional to 497,568 and 749,940

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Solution

The third proportional to 497,568 and 749,940 is: 1,130,317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,568 : 749,940 = 749,940 : x
  2. Step 2: Convert to fraction form
    497,568/749,940 = 749,940/x
  3. Step 3: Cross multiply
    497,568x = 749,940 × 749,940
  4. Step 4: Simplify right side
    497,568x = 562,410,003,600
  5. Step 5: Solve for x
    x = 562,410,003,600/497,568
  6. Step 6: Final answer
    x = 1,130,317.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.