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Finding the Third Proportional to 351,478.50 and 756,356.50

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Solution

The third proportional to 351,478.50 and 756,356.50 is: 1,627,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,478.50 : 756,356.50 = 756,356.50 : x
  2. Step 2: Convert to fraction form
    351,478.50/756,356.50 = 756,356.50/x
  3. Step 3: Cross multiply
    351,478.50x = 756,356.50 × 756,356.50
  4. Step 4: Simplify right side
    351,478.50x = 572,075,155,092.25
  5. Step 5: Solve for x
    x = 572,075,155,092.25/351,478.50
  6. Step 6: Final answer
    x = 1,627,624.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.