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Finding the Third Proportional to 406,146 and 595,368

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Solution

The third proportional to 406,146 and 595,368 is: 872,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,146 : 595,368 = 595,368 : x
  2. Step 2: Convert to fraction form
    406,146/595,368 = 595,368/x
  3. Step 3: Cross multiply
    406,146x = 595,368 × 595,368
  4. Step 4: Simplify right side
    406,146x = 354,463,055,424
  5. Step 5: Solve for x
    x = 354,463,055,424/406,146
  6. Step 6: Final answer
    x = 872,747.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.