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Finding the Third Proportional to 507,164,476.50 and 775,830,177

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Solution

The third proportional to 507,164,476.50 and 775,830,177 is: 1,186,819,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,164,476.50 : 775,830,177 = 775,830,177 : x
  2. Step 2: Convert to fraction form
    507,164,476.50/775,830,177 = 775,830,177/x
  3. Step 3: Cross multiply
    507,164,476.50x = 775,830,177 × 775,830,177
  4. Step 4: Simplify right side
    507,164,476.50x = 601,912,463,543,851,392
  5. Step 5: Solve for x
    x = 601,912,463,543,851,392/507,164,476.50
  6. Step 6: Final answer
    x = 1,186,819,052.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.