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Finding the Third Proportional to 329,014,953 and 722,603,268

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Solution

The third proportional to 329,014,953 and 722,603,268 is: 1,587,026,602.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,014,953 : 722,603,268 = 722,603,268 : x
  2. Step 2: Convert to fraction form
    329,014,953/722,603,268 = 722,603,268/x
  3. Step 3: Cross multiply
    329,014,953x = 722,603,268 × 722,603,268
  4. Step 4: Simplify right side
    329,014,953x = 522,155,482,924,279,808
  5. Step 5: Solve for x
    x = 522,155,482,924,279,808/329,014,953
  6. Step 6: Final answer
    x = 1,587,026,602.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.