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Finding the Third Proportional to 435,364 and 672,456

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Solution

The third proportional to 435,364 and 672,456 is: 1,038,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,364 : 672,456 = 672,456 : x
  2. Step 2: Convert to fraction form
    435,364/672,456 = 672,456/x
  3. Step 3: Cross multiply
    435,364x = 672,456 × 672,456
  4. Step 4: Simplify right side
    435,364x = 452,197,071,936
  5. Step 5: Solve for x
    x = 452,197,071,936/435,364
  6. Step 6: Final answer
    x = 1,038,664.36

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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.