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Finding the Third Proportional to 296,952 and 647,503.50

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Solution

The third proportional to 296,952 and 647,503.50 is: 1,411,880.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,952 : 647,503.50 = 647,503.50 : x
  2. Step 2: Convert to fraction form
    296,952/647,503.50 = 647,503.50/x
  3. Step 3: Cross multiply
    296,952x = 647,503.50 × 647,503.50
  4. Step 4: Simplify right side
    296,952x = 419,260,782,512.25
  5. Step 5: Solve for x
    x = 419,260,782,512.25/296,952
  6. Step 6: Final answer
    x = 1,411,880.65

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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.