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Finding the Third Proportional to 504,676 and 749,724

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Solution

The third proportional to 504,676 and 749,724 is: 1,113,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,676 : 749,724 = 749,724 : x
  2. Step 2: Convert to fraction form
    504,676/749,724 = 749,724/x
  3. Step 3: Cross multiply
    504,676x = 749,724 × 749,724
  4. Step 4: Simplify right side
    504,676x = 562,086,076,176
  5. Step 5: Solve for x
    x = 562,086,076,176/504,676
  6. Step 6: Final answer
    x = 1,113,756.30

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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.