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Finding the Third Proportional to 262,896 and 573,840

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Solution

The third proportional to 262,896 and 573,840 is: 1,252,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,896 : 573,840 = 573,840 : x
  2. Step 2: Convert to fraction form
    262,896/573,840 = 573,840/x
  3. Step 3: Cross multiply
    262,896x = 573,840 × 573,840
  4. Step 4: Simplify right side
    262,896x = 329,292,345,600
  5. Step 5: Solve for x
    x = 329,292,345,600/262,896
  6. Step 6: Final answer
    x = 1,252,557.46

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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.