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Finding the Third Proportional to 305,835.75 and 690,985.50

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Solution

The third proportional to 305,835.75 and 690,985.50 is: 1,561,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,835.75 : 690,985.50 = 690,985.50 : x
  2. Step 2: Convert to fraction form
    305,835.75/690,985.50 = 690,985.50/x
  3. Step 3: Cross multiply
    305,835.75x = 690,985.50 × 690,985.50
  4. Step 4: Simplify right side
    305,835.75x = 477,460,961,210.25
  5. Step 5: Solve for x
    x = 477,460,961,210.25/305,835.75
  6. Step 6: Final answer
    x = 1,561,167.92

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.