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Finding the Third Proportional to 302,373 and 656,262

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Solution

The third proportional to 302,373 and 656,262 is: 1,424,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,373 : 656,262 = 656,262 : x
  2. Step 2: Convert to fraction form
    302,373/656,262 = 656,262/x
  3. Step 3: Cross multiply
    302,373x = 656,262 × 656,262
  4. Step 4: Simplify right side
    302,373x = 430,679,812,644
  5. Step 5: Solve for x
    x = 430,679,812,644/302,373
  6. Step 6: Final answer
    x = 1,424,332.90

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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.