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Finding the Third Proportional to 293,453 and 643,160.50

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Solution

The third proportional to 293,453 and 643,160.50 is: 1,409,613.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,453 : 643,160.50 = 643,160.50 : x
  2. Step 2: Convert to fraction form
    293,453/643,160.50 = 643,160.50/x
  3. Step 3: Cross multiply
    293,453x = 643,160.50 × 643,160.50
  4. Step 4: Simplify right side
    293,453x = 413,655,428,760.25
  5. Step 5: Solve for x
    x = 413,655,428,760.25/293,453
  6. Step 6: Final answer
    x = 1,409,613.90

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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.