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Finding the Third Proportional to 250,549,956 and 383,312,790

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Solution

The third proportional to 250,549,956 and 383,312,790 is: 586,424,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,549,956 : 383,312,790 = 383,312,790 : x
  2. Step 2: Convert to fraction form
    250,549,956/383,312,790 = 383,312,790/x
  3. Step 3: Cross multiply
    250,549,956x = 383,312,790 × 383,312,790
  4. Step 4: Simplify right side
    250,549,956x = 146,928,694,977,584,096
  5. Step 5: Solve for x
    x = 146,928,694,977,584,096/250,549,956
  6. Step 6: Final answer
    x = 586,424,748.67

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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.