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Finding the Third Proportional to 245,398 and 519,090

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Solution

The third proportional to 245,398 and 519,090 is: 1,098,030.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,398 : 519,090 = 519,090 : x
  2. Step 2: Convert to fraction form
    245,398/519,090 = 519,090/x
  3. Step 3: Cross multiply
    245,398x = 519,090 × 519,090
  4. Step 4: Simplify right side
    245,398x = 269,454,428,100
  5. Step 5: Solve for x
    x = 269,454,428,100/245,398
  6. Step 6: Final answer
    x = 1,098,030.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.