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Finding the Third Proportional to 295,128 and 642,811.50

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Solution

The third proportional to 295,128 and 642,811.50 is: 1,400,092.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,128 : 642,811.50 = 642,811.50 : x
  2. Step 2: Convert to fraction form
    295,128/642,811.50 = 642,811.50/x
  3. Step 3: Cross multiply
    295,128x = 642,811.50 × 642,811.50
  4. Step 4: Simplify right side
    295,128x = 413,206,624,532.25
  5. Step 5: Solve for x
    x = 413,206,624,532.25/295,128
  6. Step 6: Final answer
    x = 1,400,092.92

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.