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Finding the Third Proportional to 302,566.50 and 411,117.75

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Solution

The third proportional to 302,566.50 and 411,117.75 is: 558,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,566.50 : 411,117.75 = 411,117.75 : x
  2. Step 2: Convert to fraction form
    302,566.50/411,117.75 = 411,117.75/x
  3. Step 3: Cross multiply
    302,566.50x = 411,117.75 × 411,117.75
  4. Step 4: Simplify right side
    302,566.50x = 169,017,804,365.06
  5. Step 5: Solve for x
    x = 169,017,804,365.06/302,566.50
  6. Step 6: Final answer
    x = 558,613.74

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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.