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Finding the Third Proportional to 296,982 and 459,522

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Solution

The third proportional to 296,982 and 459,522 is: 711,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,982 : 459,522 = 459,522 : x
  2. Step 2: Convert to fraction form
    296,982/459,522 = 459,522/x
  3. Step 3: Cross multiply
    296,982x = 459,522 × 459,522
  4. Step 4: Simplify right side
    296,982x = 211,160,468,484
  5. Step 5: Solve for x
    x = 211,160,468,484/296,982
  6. Step 6: Final answer
    x = 711,021.10

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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.