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Finding the Third Proportional to 302,526 and 660,069

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Solution

The third proportional to 302,526 and 660,069 is: 1,440,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,526 : 660,069 = 660,069 : x
  2. Step 2: Convert to fraction form
    302,526/660,069 = 660,069/x
  3. Step 3: Cross multiply
    302,526x = 660,069 × 660,069
  4. Step 4: Simplify right side
    302,526x = 435,691,084,761
  5. Step 5: Solve for x
    x = 435,691,084,761/302,526
  6. Step 6: Final answer
    x = 1,440,177.32

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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.