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Finding the Third Proportional to 281,254.50 and 607,410

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Solution

The third proportional to 281,254.50 and 607,410 is: 1,311,790.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,254.50 : 607,410 = 607,410 : x
  2. Step 2: Convert to fraction form
    281,254.50/607,410 = 607,410/x
  3. Step 3: Cross multiply
    281,254.50x = 607,410 × 607,410
  4. Step 4: Simplify right side
    281,254.50x = 368,946,908,100
  5. Step 5: Solve for x
    x = 368,946,908,100/281,254.50
  6. Step 6: Final answer
    x = 1,311,790.24

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.