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Finding the Third Proportional to 293,058 and 457,083

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Solution

The third proportional to 293,058 and 457,083 is: 712,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,058 : 457,083 = 457,083 : x
  2. Step 2: Convert to fraction form
    293,058/457,083 = 457,083/x
  3. Step 3: Cross multiply
    293,058x = 457,083 × 457,083
  4. Step 4: Simplify right side
    293,058x = 208,924,868,889
  5. Step 5: Solve for x
    x = 208,924,868,889/293,058
  6. Step 6: Final answer
    x = 712,913.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.