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Finding the Third Proportional to 264,768 and 624,507

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Solution

The third proportional to 264,768 and 624,507 is: 1,473,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,768 : 624,507 = 624,507 : x
  2. Step 2: Convert to fraction form
    264,768/624,507 = 624,507/x
  3. Step 3: Cross multiply
    264,768x = 624,507 × 624,507
  4. Step 4: Simplify right side
    264,768x = 390,008,993,049
  5. Step 5: Solve for x
    x = 390,008,993,049/264,768
  6. Step 6: Final answer
    x = 1,473,021.64

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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.