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Finding the Third Proportional to 375,035 and 808,709.50

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Solution

The third proportional to 375,035 and 808,709.50 is: 1,743,866.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,035 : 808,709.50 = 808,709.50 : x
  2. Step 2: Convert to fraction form
    375,035/808,709.50 = 808,709.50/x
  3. Step 3: Cross multiply
    375,035x = 808,709.50 × 808,709.50
  4. Step 4: Simplify right side
    375,035x = 654,011,055,390.25
  5. Step 5: Solve for x
    x = 654,011,055,390.25/375,035
  6. Step 6: Final answer
    x = 1,743,866.72

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.