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Finding the Third Proportional to 296,233 and 423,319

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Solution

The third proportional to 296,233 and 423,319 is: 604,925.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,233 : 423,319 = 423,319 : x
  2. Step 2: Convert to fraction form
    296,233/423,319 = 423,319/x
  3. Step 3: Cross multiply
    296,233x = 423,319 × 423,319
  4. Step 4: Simplify right side
    296,233x = 179,198,975,761
  5. Step 5: Solve for x
    x = 179,198,975,761/296,233
  6. Step 6: Final answer
    x = 604,925.77

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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.