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Finding the Third Proportional to 379,215 and 812,403.84

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Solution

The third proportional to 379,215 and 812,403.84 is: 1,740,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,215 : 812,403.84 = 812,403.84 : x
  2. Step 2: Convert to fraction form
    379,215/812,403.84 = 812,403.84/x
  3. Step 3: Cross multiply
    379,215x = 812,403.84 × 812,403.84
  4. Step 4: Simplify right side
    379,215x = 660,000,005,339.77
  5. Step 5: Solve for x
    x = 660,000,005,339.77/379,215
  6. Step 6: Final answer
    x = 1,740,437.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.