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Finding the Third Proportional to 468,069 and 705,408

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Solution

The third proportional to 468,069 and 705,408 is: 1,063,092.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,069 : 705,408 = 705,408 : x
  2. Step 2: Convert to fraction form
    468,069/705,408 = 705,408/x
  3. Step 3: Cross multiply
    468,069x = 705,408 × 705,408
  4. Step 4: Simplify right side
    468,069x = 497,600,446,464
  5. Step 5: Solve for x
    x = 497,600,446,464/468,069
  6. Step 6: Final answer
    x = 1,063,092.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.