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Finding the Third Proportional to 302,724 and 657,848

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Solution

The third proportional to 302,724 and 657,848 is: 1,429,566.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,724 : 657,848 = 657,848 : x
  2. Step 2: Convert to fraction form
    302,724/657,848 = 657,848/x
  3. Step 3: Cross multiply
    302,724x = 657,848 × 657,848
  4. Step 4: Simplify right side
    302,724x = 432,763,991,104
  5. Step 5: Solve for x
    x = 432,763,991,104/302,724
  6. Step 6: Final answer
    x = 1,429,566.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.