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Finding the Third Proportional to 497,728 and 768,595.50

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Solution

The third proportional to 497,728 and 768,595.50 is: 1,186,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,728 : 768,595.50 = 768,595.50 : x
  2. Step 2: Convert to fraction form
    497,728/768,595.50 = 768,595.50/x
  3. Step 3: Cross multiply
    497,728x = 768,595.50 × 768,595.50
  4. Step 4: Simplify right side
    497,728x = 590,739,042,620.25
  5. Step 5: Solve for x
    x = 590,739,042,620.25/497,728
  6. Step 6: Final answer
    x = 1,186,871.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.