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Finding the Third Proportional to 504,668 and 749,710

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Solution

The third proportional to 504,668 and 749,710 is: 1,113,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,668 : 749,710 = 749,710 : x
  2. Step 2: Convert to fraction form
    504,668/749,710 = 749,710/x
  3. Step 3: Cross multiply
    504,668x = 749,710 × 749,710
  4. Step 4: Simplify right side
    504,668x = 562,065,084,100
  5. Step 5: Solve for x
    x = 562,065,084,100/504,668
  6. Step 6: Final answer
    x = 1,113,732.36

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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.