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Finding the Third Proportional to 463,887 and 653,242.50

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Solution

The third proportional to 463,887 and 653,242.50 is: 919,891.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,887 : 653,242.50 = 653,242.50 : x
  2. Step 2: Convert to fraction form
    463,887/653,242.50 = 653,242.50/x
  3. Step 3: Cross multiply
    463,887x = 653,242.50 × 653,242.50
  4. Step 4: Simplify right side
    463,887x = 426,725,763,806.25
  5. Step 5: Solve for x
    x = 426,725,763,806.25/463,887
  6. Step 6: Final answer
    x = 919,891.62

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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.