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Finding the Third Proportional to 296,634 and 459,693

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Solution

The third proportional to 296,634 and 459,693 is: 712,385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,634 : 459,693 = 459,693 : x
  2. Step 2: Convert to fraction form
    296,634/459,693 = 459,693/x
  3. Step 3: Cross multiply
    296,634x = 459,693 × 459,693
  4. Step 4: Simplify right side
    296,634x = 211,317,654,249
  5. Step 5: Solve for x
    x = 211,317,654,249/296,634
  6. Step 6: Final answer
    x = 712,385.14

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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.