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Finding the Third Proportional to 296,221 and 423,300

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Solution

The third proportional to 296,221 and 423,300 is: 604,895.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,221 : 423,300 = 423,300 : x
  2. Step 2: Convert to fraction form
    296,221/423,300 = 423,300/x
  3. Step 3: Cross multiply
    296,221x = 423,300 × 423,300
  4. Step 4: Simplify right side
    296,221x = 179,182,890,000
  5. Step 5: Solve for x
    x = 179,182,890,000/296,221
  6. Step 6: Final answer
    x = 604,895.97

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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.