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Finding the Third Proportional to 472,959 and 732,674.25

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Solution

The third proportional to 472,959 and 732,674.25 is: 1,135,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,959 : 732,674.25 = 732,674.25 : x
  2. Step 2: Convert to fraction form
    472,959/732,674.25 = 732,674.25/x
  3. Step 3: Cross multiply
    472,959x = 732,674.25 × 732,674.25
  4. Step 4: Simplify right side
    472,959x = 536,811,556,613.06
  5. Step 5: Solve for x
    x = 536,811,556,613.06/472,959
  6. Step 6: Final answer
    x = 1,135,006.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.