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Finding the Third Proportional to 215,964 and 464,528

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Solution

The third proportional to 215,964 and 464,528 is: 999,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,964 : 464,528 = 464,528 : x
  2. Step 2: Convert to fraction form
    215,964/464,528 = 464,528/x
  3. Step 3: Cross multiply
    215,964x = 464,528 × 464,528
  4. Step 4: Simplify right side
    215,964x = 215,786,262,784
  5. Step 5: Solve for x
    x = 215,786,262,784/215,964
  6. Step 6: Final answer
    x = 999,177.01

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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.