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Finding the Third Proportional to 264,330.84 and 576,289.69

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Solution

The third proportional to 264,330.84 and 576,289.69 is: 1,256,417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,330.84 : 576,289.69 = 576,289.69 : x
  2. Step 2: Convert to fraction form
    264,330.84/576,289.69 = 576,289.69/x
  3. Step 3: Cross multiply
    264,330.84x = 576,289.69 × 576,289.69
  4. Step 4: Simplify right side
    264,330.84x = 332,109,803,918.85
  5. Step 5: Solve for x
    x = 332,109,803,918.85/264,330.84
  6. Step 6: Final answer
    x = 1,256,417.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.