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Finding the Third Proportional to 296,494 and 459,789

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Solution

The third proportional to 296,494 and 459,789 is: 713,019.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,494 : 459,789 = 459,789 : x
  2. Step 2: Convert to fraction form
    296,494/459,789 = 459,789/x
  3. Step 3: Cross multiply
    296,494x = 459,789 × 459,789
  4. Step 4: Simplify right side
    296,494x = 211,405,924,521
  5. Step 5: Solve for x
    x = 211,405,924,521/296,494
  6. Step 6: Final answer
    x = 713,019.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.