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Finding the Third Proportional to 286,407 and 617,076

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Solution

The third proportional to 286,407 and 617,076 is: 1,329,516.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,407 : 617,076 = 617,076 : x
  2. Step 2: Convert to fraction form
    286,407/617,076 = 617,076/x
  3. Step 3: Cross multiply
    286,407x = 617,076 × 617,076
  4. Step 4: Simplify right side
    286,407x = 380,782,789,776
  5. Step 5: Solve for x
    x = 380,782,789,776/286,407
  6. Step 6: Final answer
    x = 1,329,516.35

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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.