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Finding the Third Proportional to 259,065,929 and 370,467,124

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Solution

The third proportional to 259,065,929 and 370,467,124 is: 529,772,056.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,065,929 : 370,467,124 = 370,467,124 : x
  2. Step 2: Convert to fraction form
    259,065,929/370,467,124 = 370,467,124/x
  3. Step 3: Cross multiply
    259,065,929x = 370,467,124 × 370,467,124
  4. Step 4: Simplify right side
    259,065,929x = 137,245,889,964,831,376
  5. Step 5: Solve for x
    x = 137,245,889,964,831,376/259,065,929
  6. Step 6: Final answer
    x = 529,772,056.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.