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Finding the Third Proportional to 296,591 and 459,633

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Solution

The third proportional to 296,591 and 459,633 is: 712,302.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,591 : 459,633 = 459,633 : x
  2. Step 2: Convert to fraction form
    296,591/459,633 = 459,633/x
  3. Step 3: Cross multiply
    296,591x = 459,633 × 459,633
  4. Step 4: Simplify right side
    296,591x = 211,262,494,689
  5. Step 5: Solve for x
    x = 211,262,494,689/296,591
  6. Step 6: Final answer
    x = 712,302.45

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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.