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Finding the Third Proportional to 365,550 and 846,178

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Solution

The third proportional to 365,550 and 846,178 is: 1,958,739.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,550 : 846,178 = 846,178 : x
  2. Step 2: Convert to fraction form
    365,550/846,178 = 846,178/x
  3. Step 3: Cross multiply
    365,550x = 846,178 × 846,178
  4. Step 4: Simplify right side
    365,550x = 716,017,207,684
  5. Step 5: Solve for x
    x = 716,017,207,684/365,550
  6. Step 6: Final answer
    x = 1,958,739.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.