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Finding the Third Proportional to 296,364 and 423,495

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Solution

The third proportional to 296,364 and 423,495 is: 605,161.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,364 : 423,495 = 423,495 : x
  2. Step 2: Convert to fraction form
    296,364/423,495 = 423,495/x
  3. Step 3: Cross multiply
    296,364x = 423,495 × 423,495
  4. Step 4: Simplify right side
    296,364x = 179,348,015,025
  5. Step 5: Solve for x
    x = 179,348,015,025/296,364
  6. Step 6: Final answer
    x = 605,161.27

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.