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Finding the Third Proportional to 238,734,356 and 379,624,484

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Solution

The third proportional to 238,734,356 and 379,624,484 is: 603,661,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,734,356 : 379,624,484 = 379,624,484 : x
  2. Step 2: Convert to fraction form
    238,734,356/379,624,484 = 379,624,484/x
  3. Step 3: Cross multiply
    238,734,356x = 379,624,484 × 379,624,484
  4. Step 4: Simplify right side
    238,734,356x = 144,114,748,852,266,256
  5. Step 5: Solve for x
    x = 144,114,748,852,266,256/238,734,356
  6. Step 6: Final answer
    x = 603,661,539.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.