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Finding the Third Proportional to 334,647.75 and 691,798.50

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Solution

The third proportional to 334,647.75 and 691,798.50 is: 1,430,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,647.75 : 691,798.50 = 691,798.50 : x
  2. Step 2: Convert to fraction form
    334,647.75/691,798.50 = 691,798.50/x
  3. Step 3: Cross multiply
    334,647.75x = 691,798.50 × 691,798.50
  4. Step 4: Simplify right side
    334,647.75x = 478,585,164,602.25
  5. Step 5: Solve for x
    x = 478,585,164,602.25/334,647.75
  6. Step 6: Final answer
    x = 1,430,116.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.