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Finding the Third Proportional to 520,023 and 776,632

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Solution

The third proportional to 520,023 and 776,632 is: 1,159,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,023 : 776,632 = 776,632 : x
  2. Step 2: Convert to fraction form
    520,023/776,632 = 776,632/x
  3. Step 3: Cross multiply
    520,023x = 776,632 × 776,632
  4. Step 4: Simplify right side
    520,023x = 603,157,263,424
  5. Step 5: Solve for x
    x = 603,157,263,424/520,023
  6. Step 6: Final answer
    x = 1,159,866.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.