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Finding the Third Proportional to 265,920,426 and 397,415,007

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Solution

The third proportional to 265,920,426 and 397,415,007 is: 593,932,140.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,920,426 : 397,415,007 = 397,415,007 : x
  2. Step 2: Convert to fraction form
    265,920,426/397,415,007 = 397,415,007/x
  3. Step 3: Cross multiply
    265,920,426x = 397,415,007 × 397,415,007
  4. Step 4: Simplify right side
    265,920,426x = 157,938,687,788,810,048
  5. Step 5: Solve for x
    x = 157,938,687,788,810,048/265,920,426
  6. Step 6: Final answer
    x = 593,932,140.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.