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Finding the Third Proportional to 376,458 and 565,522.50

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Solution

The third proportional to 376,458 and 565,522.50 is: 849,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,458 : 565,522.50 = 565,522.50 : x
  2. Step 2: Convert to fraction form
    376,458/565,522.50 = 565,522.50/x
  3. Step 3: Cross multiply
    376,458x = 565,522.50 × 565,522.50
  4. Step 4: Simplify right side
    376,458x = 319,815,698,006.25
  5. Step 5: Solve for x
    x = 319,815,698,006.25/376,458
  6. Step 6: Final answer
    x = 849,538.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.