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Finding the Third Proportional to 459,972 and 706,054

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Solution

The third proportional to 459,972 and 706,054 is: 1,083,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,972 : 706,054 = 706,054 : x
  2. Step 2: Convert to fraction form
    459,972/706,054 = 706,054/x
  3. Step 3: Cross multiply
    459,972x = 706,054 × 706,054
  4. Step 4: Simplify right side
    459,972x = 498,512,250,916
  5. Step 5: Solve for x
    x = 498,512,250,916/459,972
  6. Step 6: Final answer
    x = 1,083,788.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.