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Finding the Third Proportional to 286,701.75 and 455,476.50

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Solution

The third proportional to 286,701.75 and 455,476.50 is: 723,605.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,701.75 : 455,476.50 = 455,476.50 : x
  2. Step 2: Convert to fraction form
    286,701.75/455,476.50 = 455,476.50/x
  3. Step 3: Cross multiply
    286,701.75x = 455,476.50 × 455,476.50
  4. Step 4: Simplify right side
    286,701.75x = 207,458,842,052.25
  5. Step 5: Solve for x
    x = 207,458,842,052.25/286,701.75
  6. Step 6: Final answer
    x = 723,605.08

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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.