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Finding the Third Proportional to 344,332 and 526,364

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Solution

The third proportional to 344,332 and 526,364 is: 804,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,332 : 526,364 = 526,364 : x
  2. Step 2: Convert to fraction form
    344,332/526,364 = 526,364/x
  3. Step 3: Cross multiply
    344,332x = 526,364 × 526,364
  4. Step 4: Simplify right side
    344,332x = 277,059,060,496
  5. Step 5: Solve for x
    x = 277,059,060,496/344,332
  6. Step 6: Final answer
    x = 804,627.69

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.