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Finding the Third Proportional to 509,102 and 754,846

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Solution

The third proportional to 509,102 and 754,846 is: 1,119,210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,102 : 754,846 = 754,846 : x
  2. Step 2: Convert to fraction form
    509,102/754,846 = 754,846/x
  3. Step 3: Cross multiply
    509,102x = 754,846 × 754,846
  4. Step 4: Simplify right side
    509,102x = 569,792,483,716
  5. Step 5: Solve for x
    x = 569,792,483,716/509,102
  6. Step 6: Final answer
    x = 1,119,210.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.