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Finding the Third Proportional to 265,125,414 and 576,142,970

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Solution

The third proportional to 265,125,414 and 576,142,970 is: 1,252,013,969.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,125,414 : 576,142,970 = 576,142,970 : x
  2. Step 2: Convert to fraction form
    265,125,414/576,142,970 = 576,142,970/x
  3. Step 3: Cross multiply
    265,125,414x = 576,142,970 × 576,142,970
  4. Step 4: Simplify right side
    265,125,414x = 331,940,721,880,420,928
  5. Step 5: Solve for x
    x = 331,940,721,880,420,928/265,125,414
  6. Step 6: Final answer
    x = 1,252,013,969.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.