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Finding the Third Proportional to 337,858 and 534,963

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Solution

The third proportional to 337,858 and 534,963 is: 847,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,858 : 534,963 = 534,963 : x
  2. Step 2: Convert to fraction form
    337,858/534,963 = 534,963/x
  3. Step 3: Cross multiply
    337,858x = 534,963 × 534,963
  4. Step 4: Simplify right side
    337,858x = 286,185,411,369
  5. Step 5: Solve for x
    x = 286,185,411,369/337,858
  6. Step 6: Final answer
    x = 847,058.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.