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Finding the Third Proportional to 432,089,354 and 617,445,687

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Solution

The third proportional to 432,089,354 and 617,445,687 is: 882,315,597.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,089,354 : 617,445,687 = 617,445,687 : x
  2. Step 2: Convert to fraction form
    432,089,354/617,445,687 = 617,445,687/x
  3. Step 3: Cross multiply
    432,089,354x = 617,445,687 × 617,445,687
  4. Step 4: Simplify right side
    432,089,354x = 381,239,176,394,901,952
  5. Step 5: Solve for x
    x = 381,239,176,394,901,952/432,089,354
  6. Step 6: Final answer
    x = 882,315,597.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.