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Finding the Third Proportional to 375,661.50 and 810,507

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Solution

The third proportional to 375,661.50 and 810,507 is: 1,748,706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,661.50 : 810,507 = 810,507 : x
  2. Step 2: Convert to fraction form
    375,661.50/810,507 = 810,507/x
  3. Step 3: Cross multiply
    375,661.50x = 810,507 × 810,507
  4. Step 4: Simplify right side
    375,661.50x = 656,921,597,049
  5. Step 5: Solve for x
    x = 656,921,597,049/375,661.50
  6. Step 6: Final answer
    x = 1,748,706.21

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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.