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Finding the Third Proportional to 454,257 and 705,372.75

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Solution

The third proportional to 454,257 and 705,372.75 is: 1,095,306.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,257 : 705,372.75 = 705,372.75 : x
  2. Step 2: Convert to fraction form
    454,257/705,372.75 = 705,372.75/x
  3. Step 3: Cross multiply
    454,257x = 705,372.75 × 705,372.75
  4. Step 4: Simplify right side
    454,257x = 497,550,716,442.56
  5. Step 5: Solve for x
    x = 497,550,716,442.56/454,257
  6. Step 6: Final answer
    x = 1,095,306.66

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.