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Finding the Third Proportional to 262,590,904 and 607,850,408.50

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Solution

The third proportional to 262,590,904 and 607,850,408.50 is: 1,407,063,662.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,590,904 : 607,850,408.50 = 607,850,408.50 : x
  2. Step 2: Convert to fraction form
    262,590,904/607,850,408.50 = 607,850,408.50/x
  3. Step 3: Cross multiply
    262,590,904x = 607,850,408.50 × 607,850,408.50
  4. Step 4: Simplify right side
    262,590,904x = 369,482,119,113,616,896
  5. Step 5: Solve for x
    x = 369,482,119,113,616,896/262,590,904
  6. Step 6: Final answer
    x = 1,407,063,662.47

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.