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Finding the Third Proportional to 294,600 and 453,402

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Solution

The third proportional to 294,600 and 453,402 is: 697,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,600 : 453,402 = 453,402 : x
  2. Step 2: Convert to fraction form
    294,600/453,402 = 453,402/x
  3. Step 3: Cross multiply
    294,600x = 453,402 × 453,402
  4. Step 4: Simplify right side
    294,600x = 205,573,373,604
  5. Step 5: Solve for x
    x = 205,573,373,604/294,600
  6. Step 6: Final answer
    x = 697,805.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.