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Finding the Third Proportional to 263,312 and 570,364

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Solution

The third proportional to 263,312 and 570,364 is: 1,235,473.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,312 : 570,364 = 570,364 : x
  2. Step 2: Convert to fraction form
    263,312/570,364 = 570,364/x
  3. Step 3: Cross multiply
    263,312x = 570,364 × 570,364
  4. Step 4: Simplify right side
    263,312x = 325,315,092,496
  5. Step 5: Solve for x
    x = 325,315,092,496/263,312
  6. Step 6: Final answer
    x = 1,235,473.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.