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Finding the Third Proportional to 469,932 and 705,042

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Solution

The third proportional to 469,932 and 705,042 is: 1,057,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,932 : 705,042 = 705,042 : x
  2. Step 2: Convert to fraction form
    469,932/705,042 = 705,042/x
  3. Step 3: Cross multiply
    469,932x = 705,042 × 705,042
  4. Step 4: Simplify right side
    469,932x = 497,084,221,764
  5. Step 5: Solve for x
    x = 497,084,221,764/469,932
  6. Step 6: Final answer
    x = 1,057,779.04

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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.