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Finding the Third Proportional to 363,537 and 786,690

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Solution

The third proportional to 363,537 and 786,690 is: 1,702,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,537 : 786,690 = 786,690 : x
  2. Step 2: Convert to fraction form
    363,537/786,690 = 786,690/x
  3. Step 3: Cross multiply
    363,537x = 786,690 × 786,690
  4. Step 4: Simplify right side
    363,537x = 618,881,156,100
  5. Step 5: Solve for x
    x = 618,881,156,100/363,537
  6. Step 6: Final answer
    x = 1,702,388.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.