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Finding the Third Proportional to 473,066 and 734,514

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Solution

The third proportional to 473,066 and 734,514 is: 1,140,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,066 : 734,514 = 734,514 : x
  2. Step 2: Convert to fraction form
    473,066/734,514 = 734,514/x
  3. Step 3: Cross multiply
    473,066x = 734,514 × 734,514
  4. Step 4: Simplify right side
    473,066x = 539,510,816,196
  5. Step 5: Solve for x
    x = 539,510,816,196/473,066
  6. Step 6: Final answer
    x = 1,140,455.70

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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.