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Finding the Third Proportional to 281,584 and 612,740

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Solution

The third proportional to 281,584 and 612,740 is: 1,333,351.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,584 : 612,740 = 612,740 : x
  2. Step 2: Convert to fraction form
    281,584/612,740 = 612,740/x
  3. Step 3: Cross multiply
    281,584x = 612,740 × 612,740
  4. Step 4: Simplify right side
    281,584x = 375,450,307,600
  5. Step 5: Solve for x
    x = 375,450,307,600/281,584
  6. Step 6: Final answer
    x = 1,333,351.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.