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Finding the Third Proportional to 412,207 and 655,714

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Solution

The third proportional to 412,207 and 655,714 is: 1,043,070.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,207 : 655,714 = 655,714 : x
  2. Step 2: Convert to fraction form
    412,207/655,714 = 655,714/x
  3. Step 3: Cross multiply
    412,207x = 655,714 × 655,714
  4. Step 4: Simplify right side
    412,207x = 429,960,849,796
  5. Step 5: Solve for x
    x = 429,960,849,796/412,207
  6. Step 6: Final answer
    x = 1,043,070.23

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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.