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Finding the Third Proportional to 346,551.75 and 433,804.50

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Solution

The third proportional to 346,551.75 and 433,804.50 is: 543,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,551.75 : 433,804.50 = 433,804.50 : x
  2. Step 2: Convert to fraction form
    346,551.75/433,804.50 = 433,804.50/x
  3. Step 3: Cross multiply
    346,551.75x = 433,804.50 × 433,804.50
  4. Step 4: Simplify right side
    346,551.75x = 188,186,344,220.25
  5. Step 5: Solve for x
    x = 188,186,344,220.25/346,551.75
  6. Step 6: Final answer
    x = 543,025.23

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.