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Finding the Third Proportional to 296,220 and 648,694.50

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Solution

The third proportional to 296,220 and 648,694.50 is: 1,420,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,220 : 648,694.50 = 648,694.50 : x
  2. Step 2: Convert to fraction form
    296,220/648,694.50 = 648,694.50/x
  3. Step 3: Cross multiply
    296,220x = 648,694.50 × 648,694.50
  4. Step 4: Simplify right side
    296,220x = 420,804,554,330.25
  5. Step 5: Solve for x
    x = 420,804,554,330.25/296,220
  6. Step 6: Final answer
    x = 1,420,581.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.