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Finding the Third Proportional to 505,160 and 1,080,364

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Solution

The third proportional to 505,160 and 1,080,364 is: 2,310,528.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,160 : 1,080,364 = 1,080,364 : x
  2. Step 2: Convert to fraction form
    505,160/1,080,364 = 1,080,364/x
  3. Step 3: Cross multiply
    505,160x = 1,080,364 × 1,080,364
  4. Step 4: Simplify right side
    505,160x = 1,167,186,372,496
  5. Step 5: Solve for x
    x = 1,167,186,372,496/505,160
  6. Step 6: Final answer
    x = 2,310,528.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.