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Finding the Third Proportional to 503,905,974.75 and 782,389,500

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Solution

The third proportional to 503,905,974.75 and 782,389,500 is: 1,214,776,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,905,974.75 : 782,389,500 = 782,389,500 : x
  2. Step 2: Convert to fraction form
    503,905,974.75/782,389,500 = 782,389,500/x
  3. Step 3: Cross multiply
    503,905,974.75x = 782,389,500 × 782,389,500
  4. Step 4: Simplify right side
    503,905,974.75x = 612,133,329,710,249,984
  5. Step 5: Solve for x
    x = 612,133,329,710,249,984/503,905,974.75
  6. Step 6: Final answer
    x = 1,214,776,883.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.