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Finding the Third Proportional to 296,191 and 651,410

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Solution

The third proportional to 296,191 and 651,410 is: 1,432,639.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,191 : 651,410 = 651,410 : x
  2. Step 2: Convert to fraction form
    296,191/651,410 = 651,410/x
  3. Step 3: Cross multiply
    296,191x = 651,410 × 651,410
  4. Step 4: Simplify right side
    296,191x = 424,334,988,100
  5. Step 5: Solve for x
    x = 424,334,988,100/296,191
  6. Step 6: Final answer
    x = 1,432,639.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.