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Finding the Third Proportional to 278,235 and 417,413

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Solution

The third proportional to 278,235 and 417,413 is: 626,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,235 : 417,413 = 417,413 : x
  2. Step 2: Convert to fraction form
    278,235/417,413 = 417,413/x
  3. Step 3: Cross multiply
    278,235x = 417,413 × 417,413
  4. Step 4: Simplify right side
    278,235x = 174,233,612,569
  5. Step 5: Solve for x
    x = 174,233,612,569/278,235
  6. Step 6: Final answer
    x = 626,210.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.