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Finding the Third Proportional to 370,585 and 808,938

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Solution

The third proportional to 370,585 and 808,938 is: 1,765,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,585 : 808,938 = 808,938 : x
  2. Step 2: Convert to fraction form
    370,585/808,938 = 808,938/x
  3. Step 3: Cross multiply
    370,585x = 808,938 × 808,938
  4. Step 4: Simplify right side
    370,585x = 654,380,687,844
  5. Step 5: Solve for x
    x = 654,380,687,844/370,585
  6. Step 6: Final answer
    x = 1,765,804.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.