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Finding the Third Proportional to 355,938 and 741,402

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Solution

The third proportional to 355,938 and 741,402 is: 1,544,305.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,938 : 741,402 = 741,402 : x
  2. Step 2: Convert to fraction form
    355,938/741,402 = 741,402/x
  3. Step 3: Cross multiply
    355,938x = 741,402 × 741,402
  4. Step 4: Simplify right side
    355,938x = 549,676,925,604
  5. Step 5: Solve for x
    x = 549,676,925,604/355,938
  6. Step 6: Final answer
    x = 1,544,305.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.