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Finding the Third Proportional to 432,089,352 and 617,445,684

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Solution

The third proportional to 432,089,352 and 617,445,684 is: 882,315,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,089,352 : 617,445,684 = 617,445,684 : x
  2. Step 2: Convert to fraction form
    432,089,352/617,445,684 = 617,445,684/x
  3. Step 3: Cross multiply
    432,089,352x = 617,445,684 × 617,445,684
  4. Step 4: Simplify right side
    432,089,352x = 381,239,172,690,227,840
  5. Step 5: Solve for x
    x = 381,239,172,690,227,840/432,089,352
  6. Step 6: Final answer
    x = 882,315,592.66

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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.