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Finding the Third Proportional to 510,174 and 749,673

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Solution

The third proportional to 510,174 and 749,673 is: 1,101,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,174 : 749,673 = 749,673 : x
  2. Step 2: Convert to fraction form
    510,174/749,673 = 749,673/x
  3. Step 3: Cross multiply
    510,174x = 749,673 × 749,673
  4. Step 4: Simplify right side
    510,174x = 562,009,606,929
  5. Step 5: Solve for x
    x = 562,009,606,929/510,174
  6. Step 6: Final answer
    x = 1,101,603.78

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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.