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Finding the Third Proportional to 315,230 and 471,729

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Solution

The third proportional to 315,230 and 471,729 is: 705,923.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,230 : 471,729 = 471,729 : x
  2. Step 2: Convert to fraction form
    315,230/471,729 = 471,729/x
  3. Step 3: Cross multiply
    315,230x = 471,729 × 471,729
  4. Step 4: Simplify right side
    315,230x = 222,528,249,441
  5. Step 5: Solve for x
    x = 222,528,249,441/315,230
  6. Step 6: Final answer
    x = 705,923.45

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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.