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Finding the Third Proportional to 357,012 and 772,800

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Solution

The third proportional to 357,012 and 772,800 is: 1,672,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,012 : 772,800 = 772,800 : x
  2. Step 2: Convert to fraction form
    357,012/772,800 = 772,800/x
  3. Step 3: Cross multiply
    357,012x = 772,800 × 772,800
  4. Step 4: Simplify right side
    357,012x = 597,219,840,000
  5. Step 5: Solve for x
    x = 597,219,840,000/357,012
  6. Step 6: Final answer
    x = 1,672,828.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.