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Finding the Third Proportional to 286,038 and 621,282

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Solution

The third proportional to 286,038 and 621,282 is: 1,349,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,038 : 621,282 = 621,282 : x
  2. Step 2: Convert to fraction form
    286,038/621,282 = 621,282/x
  3. Step 3: Cross multiply
    286,038x = 621,282 × 621,282
  4. Step 4: Simplify right side
    286,038x = 385,991,323,524
  5. Step 5: Solve for x
    x = 385,991,323,524/286,038
  6. Step 6: Final answer
    x = 1,349,440.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.