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Finding the Third Proportional to 341,537.25 and 509,533.50

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Solution

The third proportional to 341,537.25 and 509,533.50 is: 760,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,537.25 : 509,533.50 = 509,533.50 : x
  2. Step 2: Convert to fraction form
    341,537.25/509,533.50 = 509,533.50/x
  3. Step 3: Cross multiply
    341,537.25x = 509,533.50 × 509,533.50
  4. Step 4: Simplify right side
    341,537.25x = 259,624,387,622.25
  5. Step 5: Solve for x
    x = 259,624,387,622.25/341,537.25
  6. Step 6: Final answer
    x = 760,164.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.