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Finding the Third Proportional to 264,775.50 and 573,021

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Solution

The third proportional to 264,775.50 and 573,021 is: 1,240,118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,775.50 : 573,021 = 573,021 : x
  2. Step 2: Convert to fraction form
    264,775.50/573,021 = 573,021/x
  3. Step 3: Cross multiply
    264,775.50x = 573,021 × 573,021
  4. Step 4: Simplify right side
    264,775.50x = 328,353,066,441
  5. Step 5: Solve for x
    x = 328,353,066,441/264,775.50
  6. Step 6: Final answer
    x = 1,240,118.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.