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Finding the Third Proportional to 307,114 and 664,532

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Solution

The third proportional to 307,114 and 664,532 is: 1,437,911.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,114 : 664,532 = 664,532 : x
  2. Step 2: Convert to fraction form
    307,114/664,532 = 664,532/x
  3. Step 3: Cross multiply
    307,114x = 664,532 × 664,532
  4. Step 4: Simplify right side
    307,114x = 441,602,779,024
  5. Step 5: Solve for x
    x = 441,602,779,024/307,114
  6. Step 6: Final answer
    x = 1,437,911.59

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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.