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Finding the Third Proportional to 435,408 and 672,532

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Solution

The third proportional to 435,408 and 672,532 is: 1,038,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,408 : 672,532 = 672,532 : x
  2. Step 2: Convert to fraction form
    435,408/672,532 = 672,532/x
  3. Step 3: Cross multiply
    435,408x = 672,532 × 672,532
  4. Step 4: Simplify right side
    435,408x = 452,299,291,024
  5. Step 5: Solve for x
    x = 452,299,291,024/435,408
  6. Step 6: Final answer
    x = 1,038,794.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.