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Finding the Third Proportional to 262,466,616 and 574,365,258

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Solution

The third proportional to 262,466,616 and 574,365,258 is: 1,256,904,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,466,616 : 574,365,258 = 574,365,258 : x
  2. Step 2: Convert to fraction form
    262,466,616/574,365,258 = 574,365,258/x
  3. Step 3: Cross multiply
    262,466,616x = 574,365,258 × 574,365,258
  4. Step 4: Simplify right side
    262,466,616x = 329,895,449,597,406,592
  5. Step 5: Solve for x
    x = 329,895,449,597,406,592/262,466,616
  6. Step 6: Final answer
    x = 1,256,904,419.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.