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Finding the Third Proportional to 424,642.50 and 924,007.50

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Solution

The third proportional to 424,642.50 and 924,007.50 is: 2,010,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,642.50 : 924,007.50 = 924,007.50 : x
  2. Step 2: Convert to fraction form
    424,642.50/924,007.50 = 924,007.50/x
  3. Step 3: Cross multiply
    424,642.50x = 924,007.50 × 924,007.50
  4. Step 4: Simplify right side
    424,642.50x = 853,789,860,056.25
  5. Step 5: Solve for x
    x = 853,789,860,056.25/424,642.50
  6. Step 6: Final answer
    x = 2,010,608.59

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.