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Finding the Third Proportional to 286,029 and 621,264

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Solution

The third proportional to 286,029 and 621,264 is: 1,349,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,029 : 621,264 = 621,264 : x
  2. Step 2: Convert to fraction form
    286,029/621,264 = 621,264/x
  3. Step 3: Cross multiply
    286,029x = 621,264 × 621,264
  4. Step 4: Simplify right side
    286,029x = 385,968,957,696
  5. Step 5: Solve for x
    x = 385,968,957,696/286,029
  6. Step 6: Final answer
    x = 1,349,404.98

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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.