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Finding the Third Proportional to 504,678 and 749,727

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Solution

The third proportional to 504,678 and 749,727 is: 1,113,760.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,678 : 749,727 = 749,727 : x
  2. Step 2: Convert to fraction form
    504,678/749,727 = 749,727/x
  3. Step 3: Cross multiply
    504,678x = 749,727 × 749,727
  4. Step 4: Simplify right side
    504,678x = 562,090,574,529
  5. Step 5: Solve for x
    x = 562,090,574,529/504,678
  6. Step 6: Final answer
    x = 1,113,760.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.