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Finding the Third Proportional to 480,692 and 754,032

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Solution

The third proportional to 480,692 and 754,032 is: 1,182,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,692 : 754,032 = 754,032 : x
  2. Step 2: Convert to fraction form
    480,692/754,032 = 754,032/x
  3. Step 3: Cross multiply
    480,692x = 754,032 × 754,032
  4. Step 4: Simplify right side
    480,692x = 568,564,257,024
  5. Step 5: Solve for x
    x = 568,564,257,024/480,692
  6. Step 6: Final answer
    x = 1,182,803.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.