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Finding the Third Proportional to 375,985 and 782,953

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Solution

The third proportional to 375,985 and 782,953 is: 1,630,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,985 : 782,953 = 782,953 : x
  2. Step 2: Convert to fraction form
    375,985/782,953 = 782,953/x
  3. Step 3: Cross multiply
    375,985x = 782,953 × 782,953
  4. Step 4: Simplify right side
    375,985x = 613,015,400,209
  5. Step 5: Solve for x
    x = 613,015,400,209/375,985
  6. Step 6: Final answer
    x = 1,630,425.15

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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.