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Finding the Third Proportional to 504,674 and 749,721

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Solution

The third proportional to 504,674 and 749,721 is: 1,113,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,674 : 749,721 = 749,721 : x
  2. Step 2: Convert to fraction form
    504,674/749,721 = 749,721/x
  3. Step 3: Cross multiply
    504,674x = 749,721 × 749,721
  4. Step 4: Simplify right side
    504,674x = 562,081,577,841
  5. Step 5: Solve for x
    x = 562,081,577,841/504,674
  6. Step 6: Final answer
    x = 1,113,751.80

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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.