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Finding the Third Proportional to 348,498 and 512,535

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Solution

The third proportional to 348,498 and 512,535 is: 753,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,498 : 512,535 = 512,535 : x
  2. Step 2: Convert to fraction form
    348,498/512,535 = 512,535/x
  3. Step 3: Cross multiply
    348,498x = 512,535 × 512,535
  4. Step 4: Simplify right side
    348,498x = 262,692,126,225
  5. Step 5: Solve for x
    x = 262,692,126,225/348,498
  6. Step 6: Final answer
    x = 753,783.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.