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Finding the Third Proportional to 264,810.94 and 583,066.69

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Solution

The third proportional to 264,810.94 and 583,066.69 is: 1,283,809.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,810.94 : 583,066.69 = 583,066.69 : x
  2. Step 2: Convert to fraction form
    264,810.94/583,066.69 = 583,066.69/x
  3. Step 3: Cross multiply
    264,810.94x = 583,066.69 × 583,066.69
  4. Step 4: Simplify right side
    264,810.94x = 339,966,762,072.22
  5. Step 5: Solve for x
    x = 339,966,762,072.22/264,810.94
  6. Step 6: Final answer
    x = 1,283,809.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.