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Finding the Third Proportional to 302,425.50 and 456,069

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Solution

The third proportional to 302,425.50 and 456,069 is: 687,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,425.50 : 456,069 = 456,069 : x
  2. Step 2: Convert to fraction form
    302,425.50/456,069 = 456,069/x
  3. Step 3: Cross multiply
    302,425.50x = 456,069 × 456,069
  4. Step 4: Simplify right side
    302,425.50x = 207,998,932,761
  5. Step 5: Solve for x
    x = 207,998,932,761/302,425.50
  6. Step 6: Final answer
    x = 687,769.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.