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Finding the Third Proportional to 256,770 and 524,502

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Solution

The third proportional to 256,770 and 524,502 is: 1,071,395.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,770 : 524,502 = 524,502 : x
  2. Step 2: Convert to fraction form
    256,770/524,502 = 524,502/x
  3. Step 3: Cross multiply
    256,770x = 524,502 × 524,502
  4. Step 4: Simplify right side
    256,770x = 275,102,348,004
  5. Step 5: Solve for x
    x = 275,102,348,004/256,770
  6. Step 6: Final answer
    x = 1,071,395.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.