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Finding the Third Proportional to 399,898 and 877,289.50

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Solution

The third proportional to 399,898 and 877,289.50 is: 1,924,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,898 : 877,289.50 = 877,289.50 : x
  2. Step 2: Convert to fraction form
    399,898/877,289.50 = 877,289.50/x
  3. Step 3: Cross multiply
    399,898x = 877,289.50 × 877,289.50
  4. Step 4: Simplify right side
    399,898x = 769,636,866,810.25
  5. Step 5: Solve for x
    x = 769,636,866,810.25/399,898
  6. Step 6: Final answer
    x = 1,924,582.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.