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Finding the Third Proportional to 459,738 and 690,237

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Solution

The third proportional to 459,738 and 690,237 is: 1,036,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,738 : 690,237 = 690,237 : x
  2. Step 2: Convert to fraction form
    459,738/690,237 = 690,237/x
  3. Step 3: Cross multiply
    459,738x = 690,237 × 690,237
  4. Step 4: Simplify right side
    459,738x = 476,427,116,169
  5. Step 5: Solve for x
    x = 476,427,116,169/459,738
  6. Step 6: Final answer
    x = 1,036,301.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.