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Finding the Third Proportional to 296,110.50 and 651,252

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Solution

The third proportional to 296,110.50 and 651,252 is: 1,432,334.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,110.50 : 651,252 = 651,252 : x
  2. Step 2: Convert to fraction form
    296,110.50/651,252 = 651,252/x
  3. Step 3: Cross multiply
    296,110.50x = 651,252 × 651,252
  4. Step 4: Simplify right side
    296,110.50x = 424,129,167,504
  5. Step 5: Solve for x
    x = 424,129,167,504/296,110.50
  6. Step 6: Final answer
    x = 1,432,334.10

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Why These Related Problems?

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