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Finding the Third Proportional to 280,292.13 and 597,955.69

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Solution

The third proportional to 280,292.13 and 597,955.69 is: 1,275,637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,292.13 : 597,955.69 = 597,955.69 : x
  2. Step 2: Convert to fraction form
    280,292.13/597,955.69 = 597,955.69/x
  3. Step 3: Cross multiply
    280,292.13x = 597,955.69 × 597,955.69
  4. Step 4: Simplify right side
    280,292.13x = 357,551,004,213.60
  5. Step 5: Solve for x
    x = 357,551,004,213.60/280,292.13
  6. Step 6: Final answer
    x = 1,275,637.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.