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Finding the Third Proportional to 277,454 and 429,361

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Solution

The third proportional to 277,454 and 429,361 is: 664,437.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,454 : 429,361 = 429,361 : x
  2. Step 2: Convert to fraction form
    277,454/429,361 = 429,361/x
  3. Step 3: Cross multiply
    277,454x = 429,361 × 429,361
  4. Step 4: Simplify right side
    277,454x = 184,350,868,321
  5. Step 5: Solve for x
    x = 184,350,868,321/277,454
  6. Step 6: Final answer
    x = 664,437.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.