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Finding the Third Proportional to 376,774.88 and 527,018.06

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Solution

The third proportional to 376,774.88 and 527,018.06 is: 737,172.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,774.88 : 527,018.06 = 527,018.06 : x
  2. Step 2: Convert to fraction form
    376,774.88/527,018.06 = 527,018.06/x
  3. Step 3: Cross multiply
    376,774.88x = 527,018.06 × 527,018.06
  4. Step 4: Simplify right side
    376,774.88x = 277,748,038,201.25
  5. Step 5: Solve for x
    x = 277,748,038,201.25/376,774.88
  6. Step 6: Final answer
    x = 737,172.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.