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Finding the Third Proportional to 540,364 and 847,632

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Solution

The third proportional to 540,364 and 847,632 is: 1,329,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,364 : 847,632 = 847,632 : x
  2. Step 2: Convert to fraction form
    540,364/847,632 = 847,632/x
  3. Step 3: Cross multiply
    540,364x = 847,632 × 847,632
  4. Step 4: Simplify right side
    540,364x = 718,480,007,424
  5. Step 5: Solve for x
    x = 718,480,007,424/540,364
  6. Step 6: Final answer
    x = 1,329,622.27

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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.