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Finding the Third Proportional to 291,607.17 and 416,998.76

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Solution

The third proportional to 291,607.17 and 416,998.76 is: 596,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,607.17 : 416,998.76 = 416,998.76 : x
  2. Step 2: Convert to fraction form
    291,607.17/416,998.76 = 416,998.76/x
  3. Step 3: Cross multiply
    291,607.17x = 416,998.76 × 416,998.76
  4. Step 4: Simplify right side
    291,607.17x = 173,887,964,017.17
  5. Step 5: Solve for x
    x = 173,887,964,017.17/291,607.17
  6. Step 6: Final answer
    x = 596,308.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.