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Finding the Third Proportional to 281,673 and 607,581

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Solution

The third proportional to 281,673 and 607,581 is: 1,310,578.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,673 : 607,581 = 607,581 : x
  2. Step 2: Convert to fraction form
    281,673/607,581 = 607,581/x
  3. Step 3: Cross multiply
    281,673x = 607,581 × 607,581
  4. Step 4: Simplify right side
    281,673x = 369,154,671,561
  5. Step 5: Solve for x
    x = 369,154,671,561/281,673
  6. Step 6: Final answer
    x = 1,310,578.83

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Why These Related Problems?

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