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Finding the Third Proportional to 398,054 and 841,036

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Solution

The third proportional to 398,054 and 841,036 is: 1,776,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,054 : 841,036 = 841,036 : x
  2. Step 2: Convert to fraction form
    398,054/841,036 = 841,036/x
  3. Step 3: Cross multiply
    398,054x = 841,036 × 841,036
  4. Step 4: Simplify right side
    398,054x = 707,341,553,296
  5. Step 5: Solve for x
    x = 707,341,553,296/398,054
  6. Step 6: Final answer
    x = 1,776,998.98

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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.