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Finding the Third Proportional to 369,846 and 570,441

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Solution

The third proportional to 369,846 and 570,441 is: 879,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,846 : 570,441 = 570,441 : x
  2. Step 2: Convert to fraction form
    369,846/570,441 = 570,441/x
  3. Step 3: Cross multiply
    369,846x = 570,441 × 570,441
  4. Step 4: Simplify right side
    369,846x = 325,402,934,481
  5. Step 5: Solve for x
    x = 325,402,934,481/369,846
  6. Step 6: Final answer
    x = 879,833.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.