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Finding the Third Proportional to 288,225.84 and 410,582.67

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Solution

The third proportional to 288,225.84 and 410,582.67 is: 584,882.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,225.84 : 410,582.67 = 410,582.67 : x
  2. Step 2: Convert to fraction form
    288,225.84/410,582.67 = 410,582.67/x
  3. Step 3: Cross multiply
    288,225.84x = 410,582.67 × 410,582.67
  4. Step 4: Simplify right side
    288,225.84x = 168,578,130,444.01
  5. Step 5: Solve for x
    x = 168,578,130,444.01/288,225.84
  6. Step 6: Final answer
    x = 584,882.08

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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.