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Finding the Third Proportional to 427,763.53 and 598,076.16

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Solution

The third proportional to 427,763.53 and 598,076.16 is: 836,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,763.53 : 598,076.16 = 598,076.16 : x
  2. Step 2: Convert to fraction form
    427,763.53/598,076.16 = 598,076.16/x
  3. Step 3: Cross multiply
    427,763.53x = 598,076.16 × 598,076.16
  4. Step 4: Simplify right side
    427,763.53x = 357,695,088,674.77
  5. Step 5: Solve for x
    x = 357,695,088,674.77/427,763.53
  6. Step 6: Final answer
    x = 836,198.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.