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Finding the Third Proportional to 355,068 and 772,344

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Solution

The third proportional to 355,068 and 772,344 is: 1,680,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,068 : 772,344 = 772,344 : x
  2. Step 2: Convert to fraction form
    355,068/772,344 = 772,344/x
  3. Step 3: Cross multiply
    355,068x = 772,344 × 772,344
  4. Step 4: Simplify right side
    355,068x = 596,515,254,336
  5. Step 5: Solve for x
    x = 596,515,254,336/355,068
  6. Step 6: Final answer
    x = 1,680,002.86

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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.