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Finding the Third Proportional to 314,699.25 and 474,661.50

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Solution

The third proportional to 314,699.25 and 474,661.50 is: 715,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,699.25 : 474,661.50 = 474,661.50 : x
  2. Step 2: Convert to fraction form
    314,699.25/474,661.50 = 474,661.50/x
  3. Step 3: Cross multiply
    314,699.25x = 474,661.50 × 474,661.50
  4. Step 4: Simplify right side
    314,699.25x = 225,303,539,582.25
  5. Step 5: Solve for x
    x = 225,303,539,582.25/314,699.25
  6. Step 6: Final answer
    x = 715,932.88

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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.