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Finding the Third Proportional to 341,076 and 477,090

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Solution

The third proportional to 341,076 and 477,090 is: 667,343.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,076 : 477,090 = 477,090 : x
  2. Step 2: Convert to fraction form
    341,076/477,090 = 477,090/x
  3. Step 3: Cross multiply
    341,076x = 477,090 × 477,090
  4. Step 4: Simplify right side
    341,076x = 227,614,868,100
  5. Step 5: Solve for x
    x = 227,614,868,100/341,076
  6. Step 6: Final answer
    x = 667,343.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.