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Finding the Third Proportional to 269,550,564 and 394,217,041.50

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Solution

The third proportional to 269,550,564 and 394,217,041.50 is: 576,541,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,550,564 : 394,217,041.50 = 394,217,041.50 : x
  2. Step 2: Convert to fraction form
    269,550,564/394,217,041.50 = 394,217,041.50/x
  3. Step 3: Cross multiply
    269,550,564x = 394,217,041.50 × 394,217,041.50
  4. Step 4: Simplify right side
    269,550,564x = 155,407,075,809,012,736
  5. Step 5: Solve for x
    x = 155,407,075,809,012,736/269,550,564
  6. Step 6: Final answer
    x = 576,541,460.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.