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Finding the Third Proportional to 449,128 and 714,264

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Solution

The third proportional to 449,128 and 714,264 is: 1,135,919.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,128 : 714,264 = 714,264 : x
  2. Step 2: Convert to fraction form
    449,128/714,264 = 714,264/x
  3. Step 3: Cross multiply
    449,128x = 714,264 × 714,264
  4. Step 4: Simplify right side
    449,128x = 510,173,061,696
  5. Step 5: Solve for x
    x = 510,173,061,696/449,128
  6. Step 6: Final answer
    x = 1,135,919.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.