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Finding the Third Proportional to 262,407 and 551,251.50

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Solution

The third proportional to 262,407 and 551,251.50 is: 1,158,041.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,407 : 551,251.50 = 551,251.50 : x
  2. Step 2: Convert to fraction form
    262,407/551,251.50 = 551,251.50/x
  3. Step 3: Cross multiply
    262,407x = 551,251.50 × 551,251.50
  4. Step 4: Simplify right side
    262,407x = 303,878,216,252.25
  5. Step 5: Solve for x
    x = 303,878,216,252.25/262,407
  6. Step 6: Final answer
    x = 1,158,041.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.