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Finding the Third Proportional to 405,868.50 and 876,735

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Solution

The third proportional to 405,868.50 and 876,735 is: 1,893,875.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,868.50 : 876,735 = 876,735 : x
  2. Step 2: Convert to fraction form
    405,868.50/876,735 = 876,735/x
  3. Step 3: Cross multiply
    405,868.50x = 876,735 × 876,735
  4. Step 4: Simplify right side
    405,868.50x = 768,664,260,225
  5. Step 5: Solve for x
    x = 768,664,260,225/405,868.50
  6. Step 6: Final answer
    x = 1,893,875.13

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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.