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Finding the Third Proportional to 207,779.50 and 448,364

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Solution

The third proportional to 207,779.50 and 448,364 is: 967,517.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,779.50 : 448,364 = 448,364 : x
  2. Step 2: Convert to fraction form
    207,779.50/448,364 = 448,364/x
  3. Step 3: Cross multiply
    207,779.50x = 448,364 × 448,364
  4. Step 4: Simplify right side
    207,779.50x = 201,030,276,496
  5. Step 5: Solve for x
    x = 201,030,276,496/207,779.50
  6. Step 6: Final answer
    x = 967,517.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.