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Finding the Third Proportional to 262,032,343 and 560,874,002

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Solution

The third proportional to 262,032,343 and 560,874,002 is: 1,200,537,469.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032,343 : 560,874,002 = 560,874,002 : x
  2. Step 2: Convert to fraction form
    262,032,343/560,874,002 = 560,874,002/x
  3. Step 3: Cross multiply
    262,032,343x = 560,874,002 × 560,874,002
  4. Step 4: Simplify right side
    262,032,343x = 314,579,646,119,496,000
  5. Step 5: Solve for x
    x = 314,579,646,119,496,000/262,032,343
  6. Step 6: Final answer
    x = 1,200,537,469.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.