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Finding the Third Proportional to 576,373.50 and 830,178

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Solution

The third proportional to 576,373.50 and 830,178 is: 1,195,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,373.50 : 830,178 = 830,178 : x
  2. Step 2: Convert to fraction form
    576,373.50/830,178 = 830,178/x
  3. Step 3: Cross multiply
    576,373.50x = 830,178 × 830,178
  4. Step 4: Simplify right side
    576,373.50x = 689,195,511,684
  5. Step 5: Solve for x
    x = 689,195,511,684/576,373.50
  6. Step 6: Final answer
    x = 1,195,744.62

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.