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Finding the Third Proportional to 302,587.50 and 658,407

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Solution

The third proportional to 302,587.50 and 658,407 is: 1,432,642.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,587.50 : 658,407 = 658,407 : x
  2. Step 2: Convert to fraction form
    302,587.50/658,407 = 658,407/x
  3. Step 3: Cross multiply
    302,587.50x = 658,407 × 658,407
  4. Step 4: Simplify right side
    302,587.50x = 433,499,777,649
  5. Step 5: Solve for x
    x = 433,499,777,649/302,587.50
  6. Step 6: Final answer
    x = 1,432,642.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.