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Finding the Third Proportional to 416,043 and 626,455

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Solution

The third proportional to 416,043 and 626,455 is: 943,281.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,043 : 626,455 = 626,455 : x
  2. Step 2: Convert to fraction form
    416,043/626,455 = 626,455/x
  3. Step 3: Cross multiply
    416,043x = 626,455 × 626,455
  4. Step 4: Simplify right side
    416,043x = 392,445,867,025
  5. Step 5: Solve for x
    x = 392,445,867,025/416,043
  6. Step 6: Final answer
    x = 943,281.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.