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Finding the Third Proportional to 635,464 and 938,408

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Solution

The third proportional to 635,464 and 938,408 is: 1,385,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,464 : 938,408 = 938,408 : x
  2. Step 2: Convert to fraction form
    635,464/938,408 = 938,408/x
  3. Step 3: Cross multiply
    635,464x = 938,408 × 938,408
  4. Step 4: Simplify right side
    635,464x = 880,609,574,464
  5. Step 5: Solve for x
    x = 880,609,574,464/635,464
  6. Step 6: Final answer
    x = 1,385,774.13

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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.