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Finding the Third Proportional to 510,158 and 749,667

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Solution

The third proportional to 510,158 and 749,667 is: 1,101,620.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,158 : 749,667 = 749,667 : x
  2. Step 2: Convert to fraction form
    510,158/749,667 = 749,667/x
  3. Step 3: Cross multiply
    510,158x = 749,667 × 749,667
  4. Step 4: Simplify right side
    510,158x = 562,000,610,889
  5. Step 5: Solve for x
    x = 562,000,610,889/510,158
  6. Step 6: Final answer
    x = 1,101,620.70

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