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Finding the Third Proportional to 281,657 and 607,553

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Solution

The third proportional to 281,657 and 607,553 is: 1,310,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,657 : 607,553 = 607,553 : x
  2. Step 2: Convert to fraction form
    281,657/607,553 = 607,553/x
  3. Step 3: Cross multiply
    281,657x = 607,553 × 607,553
  4. Step 4: Simplify right side
    281,657x = 369,120,647,809
  5. Step 5: Solve for x
    x = 369,120,647,809/281,657
  6. Step 6: Final answer
    x = 1,310,532.48

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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.