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Finding the Third Proportional to 520,092 and 776,706

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Solution

The third proportional to 520,092 and 776,706 is: 1,159,933.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,092 : 776,706 = 776,706 : x
  2. Step 2: Convert to fraction form
    520,092/776,706 = 776,706/x
  3. Step 3: Cross multiply
    520,092x = 776,706 × 776,706
  4. Step 4: Simplify right side
    520,092x = 603,272,210,436
  5. Step 5: Solve for x
    x = 603,272,210,436/520,092
  6. Step 6: Final answer
    x = 1,159,933.65

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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.