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Finding the Third Proportional to 443,944 and 695,668

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Solution

The third proportional to 443,944 and 695,668 is: 1,090,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,944 : 695,668 = 695,668 : x
  2. Step 2: Convert to fraction form
    443,944/695,668 = 695,668/x
  3. Step 3: Cross multiply
    443,944x = 695,668 × 695,668
  4. Step 4: Simplify right side
    443,944x = 483,953,966,224
  5. Step 5: Solve for x
    x = 483,953,966,224/443,944
  6. Step 6: Final answer
    x = 1,090,123.90

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.