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Finding the Third Proportional to 281,448 and 651,010.50

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Solution

The third proportional to 281,448 and 651,010.50 is: 1,505,836.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,448 : 651,010.50 = 651,010.50 : x
  2. Step 2: Convert to fraction form
    281,448/651,010.50 = 651,010.50/x
  3. Step 3: Cross multiply
    281,448x = 651,010.50 × 651,010.50
  4. Step 4: Simplify right side
    281,448x = 423,814,671,110.25
  5. Step 5: Solve for x
    x = 423,814,671,110.25/281,448
  6. Step 6: Final answer
    x = 1,505,836.50

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.