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Finding the Third Proportional to 296,215 and 458,795

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Solution

The third proportional to 296,215 and 458,795 is: 710,608.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,215 : 458,795 = 458,795 : x
  2. Step 2: Convert to fraction form
    296,215/458,795 = 458,795/x
  3. Step 3: Cross multiply
    296,215x = 458,795 × 458,795
  4. Step 4: Simplify right side
    296,215x = 210,492,852,025
  5. Step 5: Solve for x
    x = 210,492,852,025/296,215
  6. Step 6: Final answer
    x = 710,608.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.