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Finding the Third Proportional to 245,470,576 and 381,114,455

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Solution

The third proportional to 245,470,576 and 381,114,455 is: 591,713,394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,470,576 : 381,114,455 = 381,114,455 : x
  2. Step 2: Convert to fraction form
    245,470,576/381,114,455 = 381,114,455/x
  3. Step 3: Cross multiply
    245,470,576x = 381,114,455 × 381,114,455
  4. Step 4: Simplify right side
    245,470,576x = 145,248,227,809,947,040
  5. Step 5: Solve for x
    x = 145,248,227,809,947,040/245,470,576
  6. Step 6: Final answer
    x = 591,713,394.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.