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Finding the Third Proportional to 296,212 and 423,289

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Solution

The third proportional to 296,212 and 423,289 is: 604,882.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,212 : 423,289 = 423,289 : x
  2. Step 2: Convert to fraction form
    296,212/423,289 = 423,289/x
  3. Step 3: Cross multiply
    296,212x = 423,289 × 423,289
  4. Step 4: Simplify right side
    296,212x = 179,173,577,521
  5. Step 5: Solve for x
    x = 179,173,577,521/296,212
  6. Step 6: Final answer
    x = 604,882.91

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