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Finding the Third Proportional to 560,336 and 838,521

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Solution

The third proportional to 560,336 and 838,521 is: 1,254,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,336 : 838,521 = 838,521 : x
  2. Step 2: Convert to fraction form
    560,336/838,521 = 838,521/x
  3. Step 3: Cross multiply
    560,336x = 838,521 × 838,521
  4. Step 4: Simplify right side
    560,336x = 703,117,467,441
  5. Step 5: Solve for x
    x = 703,117,467,441/560,336
  6. Step 6: Final answer
    x = 1,254,814.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.