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Finding the Third Proportional to 768,576.73 and 1,148,630.63

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Solution

The third proportional to 768,576.73 and 1,148,630.63 is: 1,716,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,576.73 : 1,148,630.63 = 1,148,630.63 : x
  2. Step 2: Convert to fraction form
    768,576.73/1,148,630.63 = 1,148,630.63/x
  3. Step 3: Cross multiply
    768,576.73x = 1,148,630.63 × 1,148,630.63
  4. Step 4: Simplify right side
    768,576.73x = 1,319,352,312,687.89
  5. Step 5: Solve for x
    x = 1,319,352,312,687.89/768,576.73
  6. Step 6: Final answer
    x = 1,716,617.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.