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Finding the Third Proportional to 302,567 and 411,118

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Solution

The third proportional to 302,567 and 411,118 is: 558,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,567 : 411,118 = 411,118 : x
  2. Step 2: Convert to fraction form
    302,567/411,118 = 411,118/x
  3. Step 3: Cross multiply
    302,567x = 411,118 × 411,118
  4. Step 4: Simplify right side
    302,567x = 169,018,009,924
  5. Step 5: Solve for x
    x = 169,018,009,924/302,567
  6. Step 6: Final answer
    x = 558,613.50

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.