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Finding the Third Proportional to 431,698.50 and 926,829

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Solution

The third proportional to 431,698.50 and 926,829 is: 1,989,842.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,698.50 : 926,829 = 926,829 : x
  2. Step 2: Convert to fraction form
    431,698.50/926,829 = 926,829/x
  3. Step 3: Cross multiply
    431,698.50x = 926,829 × 926,829
  4. Step 4: Simplify right side
    431,698.50x = 859,011,995,241
  5. Step 5: Solve for x
    x = 859,011,995,241/431,698.50
  6. Step 6: Final answer
    x = 1,989,842.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.