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Finding the Third Proportional to 262,432.50 and 706,944

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Solution

The third proportional to 262,432.50 and 706,944 is: 1,904,374.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,432.50 : 706,944 = 706,944 : x
  2. Step 2: Convert to fraction form
    262,432.50/706,944 = 706,944/x
  3. Step 3: Cross multiply
    262,432.50x = 706,944 × 706,944
  4. Step 4: Simplify right side
    262,432.50x = 499,769,819,136
  5. Step 5: Solve for x
    x = 499,769,819,136/262,432.50
  6. Step 6: Final answer
    x = 1,904,374.72

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These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.