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Finding the Third Proportional to 449,371 and 632,070.50

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Solution

The third proportional to 449,371 and 632,070.50 is: 889,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,371 : 632,070.50 = 632,070.50 : x
  2. Step 2: Convert to fraction form
    449,371/632,070.50 = 632,070.50/x
  3. Step 3: Cross multiply
    449,371x = 632,070.50 × 632,070.50
  4. Step 4: Simplify right side
    449,371x = 399,513,116,970.25
  5. Step 5: Solve for x
    x = 399,513,116,970.25/449,371
  6. Step 6: Final answer
    x = 889,049.62

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.