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Finding the Third Proportional to 376,370 and 807,316

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Solution

The third proportional to 376,370 and 807,316 is: 1,731,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,370 : 807,316 = 807,316 : x
  2. Step 2: Convert to fraction form
    376,370/807,316 = 807,316/x
  3. Step 3: Cross multiply
    376,370x = 807,316 × 807,316
  4. Step 4: Simplify right side
    376,370x = 651,759,123,856
  5. Step 5: Solve for x
    x = 651,759,123,856/376,370
  6. Step 6: Final answer
    x = 1,731,697.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.