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Finding the Third Proportional to 270,004 and 590,840

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Solution

The third proportional to 270,004 and 590,840 is: 1,292,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,004 : 590,840 = 590,840 : x
  2. Step 2: Convert to fraction form
    270,004/590,840 = 590,840/x
  3. Step 3: Cross multiply
    270,004x = 590,840 × 590,840
  4. Step 4: Simplify right side
    270,004x = 349,091,905,600
  5. Step 5: Solve for x
    x = 349,091,905,600/270,004
  6. Step 6: Final answer
    x = 1,292,913.83

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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.