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Finding the Third Proportional to 296,362 and 459,582

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Solution

The third proportional to 296,362 and 459,582 is: 712,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,362 : 459,582 = 459,582 : x
  2. Step 2: Convert to fraction form
    296,362/459,582 = 459,582/x
  3. Step 3: Cross multiply
    296,362x = 459,582 × 459,582
  4. Step 4: Simplify right side
    296,362x = 211,215,614,724
  5. Step 5: Solve for x
    x = 211,215,614,724/296,362
  6. Step 6: Final answer
    x = 712,694.66

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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.