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Finding the Third Proportional to 314,798 and 474,832

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Solution

The third proportional to 314,798 and 474,832 is: 716,222.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,798 : 474,832 = 474,832 : x
  2. Step 2: Convert to fraction form
    314,798/474,832 = 474,832/x
  3. Step 3: Cross multiply
    314,798x = 474,832 × 474,832
  4. Step 4: Simplify right side
    314,798x = 225,465,428,224
  5. Step 5: Solve for x
    x = 225,465,428,224/314,798
  6. Step 6: Final answer
    x = 716,222.56

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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.