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Finding the Third Proportional to 296,217 and 423,294

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Solution

The third proportional to 296,217 and 423,294 is: 604,886.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,217 : 423,294 = 423,294 : x
  2. Step 2: Convert to fraction form
    296,217/423,294 = 423,294/x
  3. Step 3: Cross multiply
    296,217x = 423,294 × 423,294
  4. Step 4: Simplify right side
    296,217x = 179,177,810,436
  5. Step 5: Solve for x
    x = 179,177,810,436/296,217
  6. Step 6: Final answer
    x = 604,886.99

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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.