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Finding the Third Proportional to 415,340 and 545,373

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Solution

The third proportional to 415,340 and 545,373 is: 716,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,340 : 545,373 = 545,373 : x
  2. Step 2: Convert to fraction form
    415,340/545,373 = 545,373/x
  3. Step 3: Cross multiply
    415,340x = 545,373 × 545,373
  4. Step 4: Simplify right side
    415,340x = 297,431,709,129
  5. Step 5: Solve for x
    x = 297,431,709,129/415,340
  6. Step 6: Final answer
    x = 716,116.22

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.