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Finding the Third Proportional to 360,143 and 772,773

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Solution

The third proportional to 360,143 and 772,773 is: 1,658,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,143 : 772,773 = 772,773 : x
  2. Step 2: Convert to fraction form
    360,143/772,773 = 772,773/x
  3. Step 3: Cross multiply
    360,143x = 772,773 × 772,773
  4. Step 4: Simplify right side
    360,143x = 597,178,109,529
  5. Step 5: Solve for x
    x = 597,178,109,529/360,143
  6. Step 6: Final answer
    x = 1,658,169.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.