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Finding the Third Proportional to 268,518 and 376,411.50

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Solution

The third proportional to 268,518 and 376,411.50 is: 527,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,518 : 376,411.50 = 376,411.50 : x
  2. Step 2: Convert to fraction form
    268,518/376,411.50 = 376,411.50/x
  3. Step 3: Cross multiply
    268,518x = 376,411.50 × 376,411.50
  4. Step 4: Simplify right side
    268,518x = 141,685,617,332.25
  5. Step 5: Solve for x
    x = 141,685,617,332.25/268,518
  6. Step 6: Final answer
    x = 527,657.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.