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Finding the Third Proportional to 336,969 and 732,984.75

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Solution

The third proportional to 336,969 and 732,984.75 is: 1,594,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,969 : 732,984.75 = 732,984.75 : x
  2. Step 2: Convert to fraction form
    336,969/732,984.75 = 732,984.75/x
  3. Step 3: Cross multiply
    336,969x = 732,984.75 × 732,984.75
  4. Step 4: Simplify right side
    336,969x = 537,266,643,732.56
  5. Step 5: Solve for x
    x = 537,266,643,732.56/336,969
  6. Step 6: Final answer
    x = 1,594,409.70

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Why These Related Problems?

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