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Finding the Third Proportional to 406,798 and 601,889

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Solution

The third proportional to 406,798 and 601,889 is: 890,541.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,798 : 601,889 = 601,889 : x
  2. Step 2: Convert to fraction form
    406,798/601,889 = 601,889/x
  3. Step 3: Cross multiply
    406,798x = 601,889 × 601,889
  4. Step 4: Simplify right side
    406,798x = 362,270,368,321
  5. Step 5: Solve for x
    x = 362,270,368,321/406,798
  6. Step 6: Final answer
    x = 890,541.17

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.