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Finding the Third Proportional to 355,010 and 772,228

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Solution

The third proportional to 355,010 and 772,228 is: 1,679,772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,010 : 772,228 = 772,228 : x
  2. Step 2: Convert to fraction form
    355,010/772,228 = 772,228/x
  3. Step 3: Cross multiply
    355,010x = 772,228 × 772,228
  4. Step 4: Simplify right side
    355,010x = 596,336,083,984
  5. Step 5: Solve for x
    x = 596,336,083,984/355,010
  6. Step 6: Final answer
    x = 1,679,772.64

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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.