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Finding the Third Proportional to 341,376 and 535,536

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Solution

The third proportional to 341,376 and 535,536 is: 840,125.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,376 : 535,536 = 535,536 : x
  2. Step 2: Convert to fraction form
    341,376/535,536 = 535,536/x
  3. Step 3: Cross multiply
    341,376x = 535,536 × 535,536
  4. Step 4: Simplify right side
    341,376x = 286,798,807,296
  5. Step 5: Solve for x
    x = 286,798,807,296/341,376
  6. Step 6: Final answer
    x = 840,125.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.