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Finding the Third Proportional to 520,082 and 776,691

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Solution

The third proportional to 520,082 and 776,691 is: 1,159,911.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,082 : 776,691 = 776,691 : x
  2. Step 2: Convert to fraction form
    520,082/776,691 = 776,691/x
  3. Step 3: Cross multiply
    520,082x = 776,691 × 776,691
  4. Step 4: Simplify right side
    520,082x = 603,248,909,481
  5. Step 5: Solve for x
    x = 603,248,909,481/520,082
  6. Step 6: Final answer
    x = 1,159,911.15

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