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Finding the Third Proportional to 257,495,994 and 551,809,404

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Solution

The third proportional to 257,495,994 and 551,809,404 is: 1,182,517,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,495,994 : 551,809,404 = 551,809,404 : x
  2. Step 2: Convert to fraction form
    257,495,994/551,809,404 = 551,809,404/x
  3. Step 3: Cross multiply
    257,495,994x = 551,809,404 × 551,809,404
  4. Step 4: Simplify right side
    257,495,994x = 304,493,618,342,835,200
  5. Step 5: Solve for x
    x = 304,493,618,342,835,200/257,495,994
  6. Step 6: Final answer
    x = 1,182,517,885.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.