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Finding the Third Proportional to 377,307.50 and 570,822

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Solution

The third proportional to 377,307.50 and 570,822 is: 863,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,307.50 : 570,822 = 570,822 : x
  2. Step 2: Convert to fraction form
    377,307.50/570,822 = 570,822/x
  3. Step 3: Cross multiply
    377,307.50x = 570,822 × 570,822
  4. Step 4: Simplify right side
    377,307.50x = 325,837,755,684
  5. Step 5: Solve for x
    x = 325,837,755,684/377,307.50
  6. Step 6: Final answer
    x = 863,586.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.