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Finding the Third Proportional to 296,214 and 423,292

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Solution

The third proportional to 296,214 and 423,292 is: 604,887.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,214 : 423,292 = 423,292 : x
  2. Step 2: Convert to fraction form
    296,214/423,292 = 423,292/x
  3. Step 3: Cross multiply
    296,214x = 423,292 × 423,292
  4. Step 4: Simplify right side
    296,214x = 179,176,117,264
  5. Step 5: Solve for x
    x = 179,176,117,264/296,214
  6. Step 6: Final answer
    x = 604,887.40

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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.