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Finding the Third Proportional to 343,801.50 and 812,901.75

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Solution

The third proportional to 343,801.50 and 812,901.75 is: 1,922,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,801.50 : 812,901.75 = 812,901.75 : x
  2. Step 2: Convert to fraction form
    343,801.50/812,901.75 = 812,901.75/x
  3. Step 3: Cross multiply
    343,801.50x = 812,901.75 × 812,901.75
  4. Step 4: Simplify right side
    343,801.50x = 660,809,255,153.06
  5. Step 5: Solve for x
    x = 660,809,255,153.06/343,801.50
  6. Step 6: Final answer
    x = 1,922,066.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.