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Finding the Third Proportional to 398,052 and 841,032

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Solution

The third proportional to 398,052 and 841,032 is: 1,776,991.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,052 : 841,032 = 841,032 : x
  2. Step 2: Convert to fraction form
    398,052/841,032 = 841,032/x
  3. Step 3: Cross multiply
    398,052x = 841,032 × 841,032
  4. Step 4: Simplify right side
    398,052x = 707,334,825,024
  5. Step 5: Solve for x
    x = 707,334,825,024/398,052
  6. Step 6: Final answer
    x = 1,776,991.01

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.