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Finding the Third Proportional to 375,804 and 788,532

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Solution

The third proportional to 375,804 and 788,532 is: 1,654,539.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,804 : 788,532 = 788,532 : x
  2. Step 2: Convert to fraction form
    375,804/788,532 = 788,532/x
  3. Step 3: Cross multiply
    375,804x = 788,532 × 788,532
  4. Step 4: Simplify right side
    375,804x = 621,782,715,024
  5. Step 5: Solve for x
    x = 621,782,715,024/375,804
  6. Step 6: Final answer
    x = 1,654,539.91

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