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Finding the Third Proportional to 294,967.50 and 643,515

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Solution

The third proportional to 294,967.50 and 643,515 is: 1,403,922.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,967.50 : 643,515 = 643,515 : x
  2. Step 2: Convert to fraction form
    294,967.50/643,515 = 643,515/x
  3. Step 3: Cross multiply
    294,967.50x = 643,515 × 643,515
  4. Step 4: Simplify right side
    294,967.50x = 414,111,555,225
  5. Step 5: Solve for x
    x = 414,111,555,225/294,967.50
  6. Step 6: Final answer
    x = 1,403,922.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.