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Finding the Third Proportional to 302,175 and 453,262.50

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Solution

The third proportional to 302,175 and 453,262.50 is: 679,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,175 : 453,262.50 = 453,262.50 : x
  2. Step 2: Convert to fraction form
    302,175/453,262.50 = 453,262.50/x
  3. Step 3: Cross multiply
    302,175x = 453,262.50 × 453,262.50
  4. Step 4: Simplify right side
    302,175x = 205,446,893,906.25
  5. Step 5: Solve for x
    x = 205,446,893,906.25/302,175
  6. Step 6: Final answer
    x = 679,893.75

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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.