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Finding the Third Proportional to 578,793 and 896,107.50

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Solution

The third proportional to 578,793 and 896,107.50 is: 1,387,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,793 : 896,107.50 = 896,107.50 : x
  2. Step 2: Convert to fraction form
    578,793/896,107.50 = 896,107.50/x
  3. Step 3: Cross multiply
    578,793x = 896,107.50 × 896,107.50
  4. Step 4: Simplify right side
    578,793x = 803,008,651,556.25
  5. Step 5: Solve for x
    x = 803,008,651,556.25/578,793
  6. Step 6: Final answer
    x = 1,387,384.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.