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Finding the Third Proportional to 302,133 and 423,528

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Solution

The third proportional to 302,133 and 423,528 is: 593,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,133 : 423,528 = 423,528 : x
  2. Step 2: Convert to fraction form
    302,133/423,528 = 423,528/x
  3. Step 3: Cross multiply
    302,133x = 423,528 × 423,528
  4. Step 4: Simplify right side
    302,133x = 179,375,966,784
  5. Step 5: Solve for x
    x = 179,375,966,784/302,133
  6. Step 6: Final answer
    x = 593,698.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.