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Finding the Third Proportional to 375,774.75 and 788,476.50

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Solution

The third proportional to 375,774.75 and 788,476.50 is: 1,654,435.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,774.75 : 788,476.50 = 788,476.50 : x
  2. Step 2: Convert to fraction form
    375,774.75/788,476.50 = 788,476.50/x
  3. Step 3: Cross multiply
    375,774.75x = 788,476.50 × 788,476.50
  4. Step 4: Simplify right side
    375,774.75x = 621,695,191,052.25
  5. Step 5: Solve for x
    x = 621,695,191,052.25/375,774.75
  6. Step 6: Final answer
    x = 1,654,435.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.