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Finding the Third Proportional to 286,020 and 420,268.50

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Solution

The third proportional to 286,020 and 420,268.50 is: 617,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,020 : 420,268.50 = 420,268.50 : x
  2. Step 2: Convert to fraction form
    286,020/420,268.50 = 420,268.50/x
  3. Step 3: Cross multiply
    286,020x = 420,268.50 × 420,268.50
  4. Step 4: Simplify right side
    286,020x = 176,625,612,092.25
  5. Step 5: Solve for x
    x = 176,625,612,092.25/286,020
  6. Step 6: Final answer
    x = 617,528.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.