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Finding the Third Proportional to 341,684.58 and 525,905.16

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Solution

The third proportional to 341,684.58 and 525,905.16 is: 809,448.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,684.58 : 525,905.16 = 525,905.16 : x
  2. Step 2: Convert to fraction form
    341,684.58/525,905.16 = 525,905.16/x
  3. Step 3: Cross multiply
    341,684.58x = 525,905.16 × 525,905.16
  4. Step 4: Simplify right side
    341,684.58x = 276,576,233,370.34
  5. Step 5: Solve for x
    x = 276,576,233,370.34/341,684.58
  6. Step 6: Final answer
    x = 809,448.98

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.