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Finding the Third Proportional to 486,210 and 736,032

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Solution

The third proportional to 486,210 and 736,032 is: 1,114,216.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,210 : 736,032 = 736,032 : x
  2. Step 2: Convert to fraction form
    486,210/736,032 = 736,032/x
  3. Step 3: Cross multiply
    486,210x = 736,032 × 736,032
  4. Step 4: Simplify right side
    486,210x = 541,743,105,024
  5. Step 5: Solve for x
    x = 541,743,105,024/486,210
  6. Step 6: Final answer
    x = 1,114,216.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.