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Finding the Third Proportional to 226,316 and 497,830

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Solution

The third proportional to 226,316 and 497,830 is: 1,095,082.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,316 : 497,830 = 497,830 : x
  2. Step 2: Convert to fraction form
    226,316/497,830 = 497,830/x
  3. Step 3: Cross multiply
    226,316x = 497,830 × 497,830
  4. Step 4: Simplify right side
    226,316x = 247,834,708,900
  5. Step 5: Solve for x
    x = 247,834,708,900/226,316
  6. Step 6: Final answer
    x = 1,095,082.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.