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Finding the Third Proportional to 443,897 and 695,595

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Solution

The third proportional to 443,897 and 695,595 is: 1,090,010.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,897 : 695,595 = 695,595 : x
  2. Step 2: Convert to fraction form
    443,897/695,595 = 695,595/x
  3. Step 3: Cross multiply
    443,897x = 695,595 × 695,595
  4. Step 4: Simplify right side
    443,897x = 483,852,404,025
  5. Step 5: Solve for x
    x = 483,852,404,025/443,897
  6. Step 6: Final answer
    x = 1,090,010.53

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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.