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Finding the Third Proportional to 262,265,796 and 384,895,606

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Solution

The third proportional to 262,265,796 and 384,895,606 is: 564,864,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,265,796 : 384,895,606 = 384,895,606 : x
  2. Step 2: Convert to fraction form
    262,265,796/384,895,606 = 384,895,606/x
  3. Step 3: Cross multiply
    262,265,796x = 384,895,606 × 384,895,606
  4. Step 4: Simplify right side
    262,265,796x = 148,144,627,518,107,232
  5. Step 5: Solve for x
    x = 148,144,627,518,107,232/262,265,796
  6. Step 6: Final answer
    x = 564,864,461.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.