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Finding the Third Proportional to 451,335 and 635,031

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Solution

The third proportional to 451,335 and 635,031 is: 893,492.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,335 : 635,031 = 635,031 : x
  2. Step 2: Convert to fraction form
    451,335/635,031 = 635,031/x
  3. Step 3: Cross multiply
    451,335x = 635,031 × 635,031
  4. Step 4: Simplify right side
    451,335x = 403,264,370,961
  5. Step 5: Solve for x
    x = 403,264,370,961/451,335
  6. Step 6: Final answer
    x = 893,492.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.