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Finding the Third Proportional to 286,170.75 and 455,528.81

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Solution

The third proportional to 286,170.75 and 455,528.81 is: 725,114.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,170.75 : 455,528.81 = 455,528.81 : x
  2. Step 2: Convert to fraction form
    286,170.75/455,528.81 = 455,528.81/x
  3. Step 3: Cross multiply
    286,170.75x = 455,528.81 × 455,528.81
  4. Step 4: Simplify right side
    286,170.75x = 207,506,499,017.66
  5. Step 5: Solve for x
    x = 207,506,499,017.66/286,170.75
  6. Step 6: Final answer
    x = 725,114.29

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.