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Finding the Third Proportional to 355,032 and 772,272

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Solution

The third proportional to 355,032 and 772,272 is: 1,679,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,032 : 772,272 = 772,272 : x
  2. Step 2: Convert to fraction form
    355,032/772,272 = 772,272/x
  3. Step 3: Cross multiply
    355,032x = 772,272 × 772,272
  4. Step 4: Simplify right side
    355,032x = 596,404,041,984
  5. Step 5: Solve for x
    x = 596,404,041,984/355,032
  6. Step 6: Final answer
    x = 1,679,859.96

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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.