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Finding the Third Proportional to 469,930 and 705,039

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Solution

The third proportional to 469,930 and 705,039 is: 1,057,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,930 : 705,039 = 705,039 : x
  2. Step 2: Convert to fraction form
    469,930/705,039 = 705,039/x
  3. Step 3: Cross multiply
    469,930x = 705,039 × 705,039
  4. Step 4: Simplify right side
    469,930x = 497,079,991,521
  5. Step 5: Solve for x
    x = 497,079,991,521/469,930
  6. Step 6: Final answer
    x = 1,057,774.54

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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.