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Finding the Third Proportional to 475,479 and 705,359.25

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Solution

The third proportional to 475,479 and 705,359.25 is: 1,046,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,479 : 705,359.25 = 705,359.25 : x
  2. Step 2: Convert to fraction form
    475,479/705,359.25 = 705,359.25/x
  3. Step 3: Cross multiply
    475,479x = 705,359.25 × 705,359.25
  4. Step 4: Simplify right side
    475,479x = 497,531,671,560.56
  5. Step 5: Solve for x
    x = 497,531,671,560.56/475,479
  6. Step 6: Final answer
    x = 1,046,379.91

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.