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Finding the Third Proportional to 245,513 and 537,871

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Solution

The third proportional to 245,513 and 537,871 is: 1,178,370.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,513 : 537,871 = 537,871 : x
  2. Step 2: Convert to fraction form
    245,513/537,871 = 537,871/x
  3. Step 3: Cross multiply
    245,513x = 537,871 × 537,871
  4. Step 4: Simplify right side
    245,513x = 289,305,212,641
  5. Step 5: Solve for x
    x = 289,305,212,641/245,513
  6. Step 6: Final answer
    x = 1,178,370.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.