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Finding the Third Proportional to 281,925 and 412,303.50

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Solution

The third proportional to 281,925 and 412,303.50 is: 602,976.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,925 : 412,303.50 = 412,303.50 : x
  2. Step 2: Convert to fraction form
    281,925/412,303.50 = 412,303.50/x
  3. Step 3: Cross multiply
    281,925x = 412,303.50 × 412,303.50
  4. Step 4: Simplify right side
    281,925x = 169,994,176,112.25
  5. Step 5: Solve for x
    x = 169,994,176,112.25/281,925
  6. Step 6: Final answer
    x = 602,976.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.