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Finding the Third Proportional to 255,078,925 and 382,551,865

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Solution

The third proportional to 255,078,925 and 382,551,865 is: 573,728,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,078,925 : 382,551,865 = 382,551,865 : x
  2. Step 2: Convert to fraction form
    255,078,925/382,551,865 = 382,551,865/x
  3. Step 3: Cross multiply
    255,078,925x = 382,551,865 × 382,551,865
  4. Step 4: Simplify right side
    255,078,925x = 146,345,929,414,978,240
  5. Step 5: Solve for x
    x = 146,345,929,414,978,240/255,078,925
  6. Step 6: Final answer
    x = 573,728,031.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.