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Finding the Third Proportional to 262,032,348 and 560,874,009

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Solution

The third proportional to 262,032,348 and 560,874,009 is: 1,200,537,477.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,032,348 : 560,874,009 = 560,874,009 : x
  2. Step 2: Convert to fraction form
    262,032,348/560,874,009 = 560,874,009/x
  3. Step 3: Cross multiply
    262,032,348x = 560,874,009 × 560,874,009
  4. Step 4: Simplify right side
    262,032,348x = 314,579,653,971,732,096
  5. Step 5: Solve for x
    x = 314,579,653,971,732,096/262,032,348
  6. Step 6: Final answer
    x = 1,200,537,477.04

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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.