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Finding the Third Proportional to 593,874.75 and 806,851.50

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Solution

The third proportional to 593,874.75 and 806,851.50 is: 1,096,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,874.75 : 806,851.50 = 806,851.50 : x
  2. Step 2: Convert to fraction form
    593,874.75/806,851.50 = 806,851.50/x
  3. Step 3: Cross multiply
    593,874.75x = 806,851.50 × 806,851.50
  4. Step 4: Simplify right side
    593,874.75x = 651,009,343,052.25
  5. Step 5: Solve for x
    x = 651,009,343,052.25/593,874.75
  6. Step 6: Final answer
    x = 1,096,206.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.