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Finding the Third Proportional to 270,070 and 590,968

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Solution

The third proportional to 270,070 and 590,968 is: 1,293,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,070 : 590,968 = 590,968 : x
  2. Step 2: Convert to fraction form
    270,070/590,968 = 590,968/x
  3. Step 3: Cross multiply
    270,070x = 590,968 × 590,968
  4. Step 4: Simplify right side
    270,070x = 349,243,177,024
  5. Step 5: Solve for x
    x = 349,243,177,024/270,070
  6. Step 6: Final answer
    x = 1,293,157.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.