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Finding the Third Proportional to 375,509 and 782,095

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Solution

The third proportional to 375,509 and 782,095 is: 1,628,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,509 : 782,095 = 782,095 : x
  2. Step 2: Convert to fraction form
    375,509/782,095 = 782,095/x
  3. Step 3: Cross multiply
    375,509x = 782,095 × 782,095
  4. Step 4: Simplify right side
    375,509x = 611,672,589,025
  5. Step 5: Solve for x
    x = 611,672,589,025/375,509
  6. Step 6: Final answer
    x = 1,628,915.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.