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Finding the Third Proportional to 314,574 and 472,749

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Solution

The third proportional to 314,574 and 472,749 is: 710,458.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,574 : 472,749 = 472,749 : x
  2. Step 2: Convert to fraction form
    314,574/472,749 = 472,749/x
  3. Step 3: Cross multiply
    314,574x = 472,749 × 472,749
  4. Step 4: Simplify right side
    314,574x = 223,491,617,001
  5. Step 5: Solve for x
    x = 223,491,617,001/314,574
  6. Step 6: Final answer
    x = 710,458.01

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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.