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Finding the Third Proportional to 579,575 and 763,954

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Solution

The third proportional to 579,575 and 763,954 is: 1,006,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,575 : 763,954 = 763,954 : x
  2. Step 2: Convert to fraction form
    579,575/763,954 = 763,954/x
  3. Step 3: Cross multiply
    579,575x = 763,954 × 763,954
  4. Step 4: Simplify right side
    579,575x = 583,625,714,116
  5. Step 5: Solve for x
    x = 583,625,714,116/579,575
  6. Step 6: Final answer
    x = 1,006,989.11

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.