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Finding the Third Proportional to 522,579 and 763,705

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Solution

The third proportional to 522,579 and 763,705 is: 1,116,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,579 : 763,705 = 763,705 : x
  2. Step 2: Convert to fraction form
    522,579/763,705 = 763,705/x
  3. Step 3: Cross multiply
    522,579x = 763,705 × 763,705
  4. Step 4: Simplify right side
    522,579x = 583,245,327,025
  5. Step 5: Solve for x
    x = 583,245,327,025/522,579
  6. Step 6: Final answer
    x = 1,116,090.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.