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Finding the Third Proportional to 432,088,434 and 617,444,343

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Solution

The third proportional to 432,088,434 and 617,444,343 is: 882,313,634.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,088,434 : 617,444,343 = 617,444,343 : x
  2. Step 2: Convert to fraction form
    432,088,434/617,444,343 = 617,444,343/x
  3. Step 3: Cross multiply
    432,088,434x = 617,444,343 × 617,444,343
  4. Step 4: Simplify right side
    432,088,434x = 381,237,516,702,701,632
  5. Step 5: Solve for x
    x = 381,237,516,702,701,632/432,088,434
  6. Step 6: Final answer
    x = 882,313,634.67

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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.