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Finding the Third Proportional to 469,640 and 704,556

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Solution

The third proportional to 469,640 and 704,556 is: 1,056,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,640 : 704,556 = 704,556 : x
  2. Step 2: Convert to fraction form
    469,640/704,556 = 704,556/x
  3. Step 3: Cross multiply
    469,640x = 704,556 × 704,556
  4. Step 4: Simplify right side
    469,640x = 496,399,157,136
  5. Step 5: Solve for x
    x = 496,399,157,136/469,640
  6. Step 6: Final answer
    x = 1,056,978.02

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