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Finding the Third Proportional to 261,231 and 390,833.50

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Solution

The third proportional to 261,231 and 390,833.50 is: 584,734.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,231 : 390,833.50 = 390,833.50 : x
  2. Step 2: Convert to fraction form
    261,231/390,833.50 = 390,833.50/x
  3. Step 3: Cross multiply
    261,231x = 390,833.50 × 390,833.50
  4. Step 4: Simplify right side
    261,231x = 152,750,824,722.25
  5. Step 5: Solve for x
    x = 152,750,824,722.25/261,231
  6. Step 6: Final answer
    x = 584,734.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.