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Finding the Third Proportional to 286,230 and 420,592.50

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Solution

The third proportional to 286,230 and 420,592.50 is: 618,027.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,230 : 420,592.50 = 420,592.50 : x
  2. Step 2: Convert to fraction form
    286,230/420,592.50 = 420,592.50/x
  3. Step 3: Cross multiply
    286,230x = 420,592.50 × 420,592.50
  4. Step 4: Simplify right side
    286,230x = 176,898,051,056.25
  5. Step 5: Solve for x
    x = 176,898,051,056.25/286,230
  6. Step 6: Final answer
    x = 618,027.64

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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.