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Finding the Third Proportional to 302,023 and 453,009

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Solution

The third proportional to 302,023 and 453,009 is: 679,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,023 : 453,009 = 453,009 : x
  2. Step 2: Convert to fraction form
    302,023/453,009 = 453,009/x
  3. Step 3: Cross multiply
    302,023x = 453,009 × 453,009
  4. Step 4: Simplify right side
    302,023x = 205,217,154,081
  5. Step 5: Solve for x
    x = 205,217,154,081/302,023
  6. Step 6: Final answer
    x = 679,475.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.