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Finding the Third Proportional to 295,226,725 and 634,265,891

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Solution

The third proportional to 295,226,725 and 634,265,891 is: 1,362,658,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,226,725 : 634,265,891 = 634,265,891 : x
  2. Step 2: Convert to fraction form
    295,226,725/634,265,891 = 634,265,891/x
  3. Step 3: Cross multiply
    295,226,725x = 634,265,891 × 634,265,891
  4. Step 4: Simplify right side
    295,226,725x = 402,293,220,486,023,872
  5. Step 5: Solve for x
    x = 402,293,220,486,023,872/295,226,725
  6. Step 6: Final answer
    x = 1,362,658,548.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.