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Finding the Third Proportional to 329,579,901 and 448,831,570.50

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Solution

The third proportional to 329,579,901 and 448,831,570.50 is: 611,231,989.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,579,901 : 448,831,570.50 = 448,831,570.50 : x
  2. Step 2: Convert to fraction form
    329,579,901/448,831,570.50 = 448,831,570.50/x
  3. Step 3: Cross multiply
    329,579,901x = 448,831,570.50 × 448,831,570.50
  4. Step 4: Simplify right side
    329,579,901x = 201,449,778,677,496,480
  5. Step 5: Solve for x
    x = 201,449,778,677,496,480/329,579,901
  6. Step 6: Final answer
    x = 611,231,989.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.