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Finding the Third Proportional to 376,781.63 and 527,026.50

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Solution

The third proportional to 376,781.63 and 527,026.50 is: 737,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,781.63 : 527,026.50 = 527,026.50 : x
  2. Step 2: Convert to fraction form
    376,781.63/527,026.50 = 527,026.50/x
  3. Step 3: Cross multiply
    376,781.63x = 527,026.50 × 527,026.50
  4. Step 4: Simplify right side
    376,781.63x = 277,756,931,702.25
  5. Step 5: Solve for x
    x = 277,756,931,702.25/376,781.63
  6. Step 6: Final answer
    x = 737,182.80

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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.