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Finding the Third Proportional to 340,207 and 732,416

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Solution

The third proportional to 340,207 and 732,416 is: 1,576,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,207 : 732,416 = 732,416 : x
  2. Step 2: Convert to fraction form
    340,207/732,416 = 732,416/x
  3. Step 3: Cross multiply
    340,207x = 732,416 × 732,416
  4. Step 4: Simplify right side
    340,207x = 536,433,197,056
  5. Step 5: Solve for x
    x = 536,433,197,056/340,207
  6. Step 6: Final answer
    x = 1,576,784.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.