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Finding the Third Proportional to 296,224 and 423,304

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Solution

The third proportional to 296,224 and 423,304 is: 604,901.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,224 : 423,304 = 423,304 : x
  2. Step 2: Convert to fraction form
    296,224/423,304 = 423,304/x
  3. Step 3: Cross multiply
    296,224x = 423,304 × 423,304
  4. Step 4: Simplify right side
    296,224x = 179,186,276,416
  5. Step 5: Solve for x
    x = 179,186,276,416/296,224
  6. Step 6: Final answer
    x = 604,901.28

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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.