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Finding the Third Proportional to 507,932,496 and 759,921,912

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Solution

The third proportional to 507,932,496 and 759,921,912 is: 1,136,925,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,932,496 : 759,921,912 = 759,921,912 : x
  2. Step 2: Convert to fraction form
    507,932,496/759,921,912 = 759,921,912/x
  3. Step 3: Cross multiply
    507,932,496x = 759,921,912 × 759,921,912
  4. Step 4: Simplify right side
    507,932,496x = 577,481,312,337,735,680
  5. Step 5: Solve for x
    x = 577,481,312,337,735,680/507,932,496
  6. Step 6: Final answer
    x = 1,136,925,313.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.