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Finding the Third Proportional to 357,664 and 771,536

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Solution

The third proportional to 357,664 and 771,536 is: 1,664,321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,664 : 771,536 = 771,536 : x
  2. Step 2: Convert to fraction form
    357,664/771,536 = 771,536/x
  3. Step 3: Cross multiply
    357,664x = 771,536 × 771,536
  4. Step 4: Simplify right side
    357,664x = 595,267,799,296
  5. Step 5: Solve for x
    x = 595,267,799,296/357,664
  6. Step 6: Final answer
    x = 1,664,321.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.