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Finding the Third Proportional to 240,764 and 518,528

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Solution

The third proportional to 240,764 and 518,528 is: 1,116,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,764 : 518,528 = 518,528 : x
  2. Step 2: Convert to fraction form
    240,764/518,528 = 518,528/x
  3. Step 3: Cross multiply
    240,764x = 518,528 × 518,528
  4. Step 4: Simplify right side
    240,764x = 268,871,286,784
  5. Step 5: Solve for x
    x = 268,871,286,784/240,764
  6. Step 6: Final answer
    x = 1,116,742.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.