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Finding the Third Proportional to 434,883 and 612,409.50

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Solution

The third proportional to 434,883 and 612,409.50 is: 862,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,883 : 612,409.50 = 612,409.50 : x
  2. Step 2: Convert to fraction form
    434,883/612,409.50 = 612,409.50/x
  3. Step 3: Cross multiply
    434,883x = 612,409.50 × 612,409.50
  4. Step 4: Simplify right side
    434,883x = 375,045,395,690.25
  5. Step 5: Solve for x
    x = 375,045,395,690.25/434,883
  6. Step 6: Final answer
    x = 862,405.28

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.