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Finding the Third Proportional to 361,743.75 and 773,316

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Solution

The third proportional to 361,743.75 and 773,316 is: 1,653,152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,743.75 : 773,316 = 773,316 : x
  2. Step 2: Convert to fraction form
    361,743.75/773,316 = 773,316/x
  3. Step 3: Cross multiply
    361,743.75x = 773,316 × 773,316
  4. Step 4: Simplify right side
    361,743.75x = 598,017,635,856
  5. Step 5: Solve for x
    x = 598,017,635,856/361,743.75
  6. Step 6: Final answer
    x = 1,653,152.64

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.