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Finding the Third Proportional to 302,340 and 437,046

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Solution

The third proportional to 302,340 and 437,046 is: 631,769.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,340 : 437,046 = 437,046 : x
  2. Step 2: Convert to fraction form
    302,340/437,046 = 437,046/x
  3. Step 3: Cross multiply
    302,340x = 437,046 × 437,046
  4. Step 4: Simplify right side
    302,340x = 191,009,206,116
  5. Step 5: Solve for x
    x = 191,009,206,116/302,340
  6. Step 6: Final answer
    x = 631,769.55

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.