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Finding the Third Proportional to 504,666 and 749,707

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Solution

The third proportional to 504,666 and 749,707 is: 1,113,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,666 : 749,707 = 749,707 : x
  2. Step 2: Convert to fraction form
    504,666/749,707 = 749,707/x
  3. Step 3: Cross multiply
    504,666x = 749,707 × 749,707
  4. Step 4: Simplify right side
    504,666x = 562,060,585,849
  5. Step 5: Solve for x
    x = 562,060,585,849/504,666
  6. Step 6: Final answer
    x = 1,113,727.86

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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.