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Finding the Third Proportional to 355,404.75 and 777,237

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Solution

The third proportional to 355,404.75 and 777,237 is: 1,699,744.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,404.75 : 777,237 = 777,237 : x
  2. Step 2: Convert to fraction form
    355,404.75/777,237 = 777,237/x
  3. Step 3: Cross multiply
    355,404.75x = 777,237 × 777,237
  4. Step 4: Simplify right side
    355,404.75x = 604,097,354,169
  5. Step 5: Solve for x
    x = 604,097,354,169/355,404.75
  6. Step 6: Final answer
    x = 1,699,744.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.