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Finding the Third Proportional to 537,459 and 776,937

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Solution

The third proportional to 537,459 and 776,937 is: 1,123,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,459 : 776,937 = 776,937 : x
  2. Step 2: Convert to fraction form
    537,459/776,937 = 776,937/x
  3. Step 3: Cross multiply
    537,459x = 776,937 × 776,937
  4. Step 4: Simplify right side
    537,459x = 603,631,101,969
  5. Step 5: Solve for x
    x = 603,631,101,969/537,459
  6. Step 6: Final answer
    x = 1,123,120.28

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.