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Finding the Third Proportional to 510,176 and 749,676

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Solution

The third proportional to 510,176 and 749,676 is: 1,101,608.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,176 : 749,676 = 749,676 : x
  2. Step 2: Convert to fraction form
    510,176/749,676 = 749,676/x
  3. Step 3: Cross multiply
    510,176x = 749,676 × 749,676
  4. Step 4: Simplify right side
    510,176x = 562,014,104,976
  5. Step 5: Solve for x
    x = 562,014,104,976/510,176
  6. Step 6: Final answer
    x = 1,101,608.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.