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Finding the Third Proportional to 433,038 and 680,255

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Solution

The third proportional to 433,038 and 680,255 is: 1,068,605.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,038 : 680,255 = 680,255 : x
  2. Step 2: Convert to fraction form
    433,038/680,255 = 680,255/x
  3. Step 3: Cross multiply
    433,038x = 680,255 × 680,255
  4. Step 4: Simplify right side
    433,038x = 462,746,865,025
  5. Step 5: Solve for x
    x = 462,746,865,025/433,038
  6. Step 6: Final answer
    x = 1,068,605.68

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.