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Finding the Third Proportional to 443,610 and 694,985.06

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Solution

The third proportional to 443,610 and 694,985.06 is: 1,088,803.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,610 : 694,985.06 = 694,985.06 : x
  2. Step 2: Convert to fraction form
    443,610/694,985.06 = 694,985.06/x
  3. Step 3: Cross multiply
    443,610x = 694,985.06 × 694,985.06
  4. Step 4: Simplify right side
    443,610x = 483,004,237,098.13
  5. Step 5: Solve for x
    x = 483,004,237,098.13/443,610
  6. Step 6: Final answer
    x = 1,088,803.76

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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.