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Finding the Third Proportional to 300,528,576 and 453,157,851

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Solution

The third proportional to 300,528,576 and 453,157,851 is: 683,302,868.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,528,576 : 453,157,851 = 453,157,851 : x
  2. Step 2: Convert to fraction form
    300,528,576/453,157,851 = 453,157,851/x
  3. Step 3: Cross multiply
    300,528,576x = 453,157,851 × 453,157,851
  4. Step 4: Simplify right side
    300,528,576x = 205,352,037,922,938,208
  5. Step 5: Solve for x
    x = 205,352,037,922,938,208/300,528,576
  6. Step 6: Final answer
    x = 683,302,868.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.