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Finding the Third Proportional to 459,970 and 706,051

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Solution

The third proportional to 459,970 and 706,051 is: 1,083,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,970 : 706,051 = 706,051 : x
  2. Step 2: Convert to fraction form
    459,970/706,051 = 706,051/x
  3. Step 3: Cross multiply
    459,970x = 706,051 × 706,051
  4. Step 4: Simplify right side
    459,970x = 498,508,014,601
  5. Step 5: Solve for x
    x = 498,508,014,601/459,970
  6. Step 6: Final answer
    x = 1,083,783.76

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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.