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Finding the Third Proportional to 375,948 and 791,316

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Solution

The third proportional to 375,948 and 791,316 is: 1,665,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,948 : 791,316 = 791,316 : x
  2. Step 2: Convert to fraction form
    375,948/791,316 = 791,316/x
  3. Step 3: Cross multiply
    375,948x = 791,316 × 791,316
  4. Step 4: Simplify right side
    375,948x = 626,181,011,856
  5. Step 5: Solve for x
    x = 626,181,011,856/375,948
  6. Step 6: Final answer
    x = 1,665,605.38

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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.