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Finding the Third Proportional to 232,458,495 and 505,776,426

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Solution

The third proportional to 232,458,495 and 505,776,426 is: 1,100,453,623.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,458,495 : 505,776,426 = 505,776,426 : x
  2. Step 2: Convert to fraction form
    232,458,495/505,776,426 = 505,776,426/x
  3. Step 3: Cross multiply
    232,458,495x = 505,776,426 × 505,776,426
  4. Step 4: Simplify right side
    232,458,495x = 255,809,793,097,333,472
  5. Step 5: Solve for x
    x = 255,809,793,097,333,472/232,458,495
  6. Step 6: Final answer
    x = 1,100,453,623.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.