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Finding the Third Proportional to 486,214 and 736,038

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Solution

The third proportional to 486,214 and 736,038 is: 1,114,225.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,214 : 736,038 = 736,038 : x
  2. Step 2: Convert to fraction form
    486,214/736,038 = 736,038/x
  3. Step 3: Cross multiply
    486,214x = 736,038 × 736,038
  4. Step 4: Simplify right side
    486,214x = 541,751,937,444
  5. Step 5: Solve for x
    x = 541,751,937,444/486,214
  6. Step 6: Final answer
    x = 1,114,225.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.