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Finding the Third Proportional to 448,029,633 and 702,825,658.50

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Solution

The third proportional to 448,029,633 and 702,825,658.50 is: 1,102,525,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,029,633 : 702,825,658.50 = 702,825,658.50 : x
  2. Step 2: Convert to fraction form
    448,029,633/702,825,658.50 = 702,825,658.50/x
  3. Step 3: Cross multiply
    448,029,633x = 702,825,658.50 × 702,825,658.50
  4. Step 4: Simplify right side
    448,029,633x = 493,963,906,245,958,592
  5. Step 5: Solve for x
    x = 493,963,906,245,958,592/448,029,633
  6. Step 6: Final answer
    x = 1,102,525,078.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.