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Finding the Third Proportional to 375,864 and 788,632.50

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Solution

The third proportional to 375,864 and 788,632.50 is: 1,654,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,864 : 788,632.50 = 788,632.50 : x
  2. Step 2: Convert to fraction form
    375,864/788,632.50 = 788,632.50/x
  3. Step 3: Cross multiply
    375,864x = 788,632.50 × 788,632.50
  4. Step 4: Simplify right side
    375,864x = 621,941,220,056.25
  5. Step 5: Solve for x
    x = 621,941,220,056.25/375,864
  6. Step 6: Final answer
    x = 1,654,697.50

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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.