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Finding the Third Proportional to 788,728.50 and 1,715,650

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Solution

The third proportional to 788,728.50 and 1,715,650 is: 3,731,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,728.50 : 1,715,650 = 1,715,650 : x
  2. Step 2: Convert to fraction form
    788,728.50/1,715,650 = 1,715,650/x
  3. Step 3: Cross multiply
    788,728.50x = 1,715,650 × 1,715,650
  4. Step 4: Simplify right side
    788,728.50x = 2,943,454,922,500
  5. Step 5: Solve for x
    x = 2,943,454,922,500/788,728.50
  6. Step 6: Final answer
    x = 3,731,898.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.