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Finding the Third Proportional to 768,964.50 and 1,235,460

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Solution

The third proportional to 768,964.50 and 1,235,460 is: 1,984,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,964.50 : 1,235,460 = 1,235,460 : x
  2. Step 2: Convert to fraction form
    768,964.50/1,235,460 = 1,235,460/x
  3. Step 3: Cross multiply
    768,964.50x = 1,235,460 × 1,235,460
  4. Step 4: Simplify right side
    768,964.50x = 1,526,361,411,600
  5. Step 5: Solve for x
    x = 1,526,361,411,600/768,964.50
  6. Step 6: Final answer
    x = 1,984,956.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.