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Finding the Third Proportional to 264,030 and 623,084

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Solution

The third proportional to 264,030 and 623,084 is: 1,470,414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,030 : 623,084 = 623,084 : x
  2. Step 2: Convert to fraction form
    264,030/623,084 = 623,084/x
  3. Step 3: Cross multiply
    264,030x = 623,084 × 623,084
  4. Step 4: Simplify right side
    264,030x = 388,233,671,056
  5. Step 5: Solve for x
    x = 388,233,671,056/264,030
  6. Step 6: Final answer
    x = 1,470,414.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.