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Finding the Third Proportional to 279,252.56 and 602,784.28

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Solution

The third proportional to 279,252.56 and 602,784.28 is: 1,301,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,252.56 : 602,784.28 = 602,784.28 : x
  2. Step 2: Convert to fraction form
    279,252.56/602,784.28 = 602,784.28/x
  3. Step 3: Cross multiply
    279,252.56x = 602,784.28 × 602,784.28
  4. Step 4: Simplify right side
    279,252.56x = 363,348,889,722.08
  5. Step 5: Solve for x
    x = 363,348,889,722.08/279,252.56
  6. Step 6: Final answer
    x = 1,301,147.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.