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Finding the Third Proportional to 296,652 and 614,332

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Solution

The third proportional to 296,652 and 614,332 is: 1,272,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,652 : 614,332 = 614,332 : x
  2. Step 2: Convert to fraction form
    296,652/614,332 = 614,332/x
  3. Step 3: Cross multiply
    296,652x = 614,332 × 614,332
  4. Step 4: Simplify right side
    296,652x = 377,403,806,224
  5. Step 5: Solve for x
    x = 377,403,806,224/296,652
  6. Step 6: Final answer
    x = 1,272,210.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.