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Finding the Third Proportional to 454,311 and 705,433.50

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Solution

The third proportional to 454,311 and 705,433.50 is: 1,095,365.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,311 : 705,433.50 = 705,433.50 : x
  2. Step 2: Convert to fraction form
    454,311/705,433.50 = 705,433.50/x
  3. Step 3: Cross multiply
    454,311x = 705,433.50 × 705,433.50
  4. Step 4: Simplify right side
    454,311x = 497,636,422,922.25
  5. Step 5: Solve for x
    x = 497,636,422,922.25/454,311
  6. Step 6: Final answer
    x = 1,095,365.12

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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.