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Finding the Third Proportional to 296,047 and 651,141.50

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Solution

The third proportional to 296,047 and 651,141.50 is: 1,432,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,047 : 651,141.50 = 651,141.50 : x
  2. Step 2: Convert to fraction form
    296,047/651,141.50 = 651,141.50/x
  3. Step 3: Cross multiply
    296,047x = 651,141.50 × 651,141.50
  4. Step 4: Simplify right side
    296,047x = 423,985,253,022.25
  5. Step 5: Solve for x
    x = 423,985,253,022.25/296,047
  6. Step 6: Final answer
    x = 1,432,155.21

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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.