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Finding the Third Proportional to 232,989 and 496,506

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Solution

The third proportional to 232,989 and 496,506 is: 1,058,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,989 : 496,506 = 496,506 : x
  2. Step 2: Convert to fraction form
    232,989/496,506 = 496,506/x
  3. Step 3: Cross multiply
    232,989x = 496,506 × 496,506
  4. Step 4: Simplify right side
    232,989x = 246,518,208,036
  5. Step 5: Solve for x
    x = 246,518,208,036/232,989
  6. Step 6: Final answer
    x = 1,058,068.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.