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Finding the Third Proportional to 344,714 and 535,115

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Solution

The third proportional to 344,714 and 535,115 is: 830,683.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,714 : 535,115 = 535,115 : x
  2. Step 2: Convert to fraction form
    344,714/535,115 = 535,115/x
  3. Step 3: Cross multiply
    344,714x = 535,115 × 535,115
  4. Step 4: Simplify right side
    344,714x = 286,348,063,225
  5. Step 5: Solve for x
    x = 286,348,063,225/344,714
  6. Step 6: Final answer
    x = 830,683.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.