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Finding the Third Proportional to 288,225.28 and 410,582.25

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Solution

The third proportional to 288,225.28 and 410,582.25 is: 584,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,225.28 : 410,582.25 = 410,582.25 : x
  2. Step 2: Convert to fraction form
    288,225.28/410,582.25 = 410,582.25/x
  3. Step 3: Cross multiply
    288,225.28x = 410,582.25 × 410,582.25
  4. Step 4: Simplify right side
    288,225.28x = 168,577,784,015.06
  5. Step 5: Solve for x
    x = 168,577,784,015.06/288,225.28
  6. Step 6: Final answer
    x = 584,882.02

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.