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Finding the Third Proportional to 262,032,345 and 560,874,003

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Solution

The third proportional to 262,032,345 and 560,874,003 is: 1,200,537,465.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032,345 : 560,874,003 = 560,874,003 : x
  2. Step 2: Convert to fraction form
    262,032,345/560,874,003 = 560,874,003/x
  3. Step 3: Cross multiply
    262,032,345x = 560,874,003 × 560,874,003
  4. Step 4: Simplify right side
    262,032,345x = 314,579,647,241,244,032
  5. Step 5: Solve for x
    x = 314,579,647,241,244,032/262,032,345
  6. Step 6: Final answer
    x = 1,200,537,465.10

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Why These Related Problems?

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