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Finding the Third Proportional to 288,225.50 and 410,582.63

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Solution

The third proportional to 288,225.50 and 410,582.63 is: 584,882.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,225.50 : 410,582.63 = 410,582.63 : x
  2. Step 2: Convert to fraction form
    288,225.50/410,582.63 = 410,582.63/x
  3. Step 3: Cross multiply
    288,225.50x = 410,582.63 × 410,582.63
  4. Step 4: Simplify right side
    288,225.50x = 168,578,091,951.89
  5. Step 5: Solve for x
    x = 168,578,091,951.89/288,225.50
  6. Step 6: Final answer
    x = 584,882.64

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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.