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Finding the Third Proportional to 296,770 and 454,984

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Solution

The third proportional to 296,770 and 454,984 is: 697,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,770 : 454,984 = 454,984 : x
  2. Step 2: Convert to fraction form
    296,770/454,984 = 454,984/x
  3. Step 3: Cross multiply
    296,770x = 454,984 × 454,984
  4. Step 4: Simplify right side
    296,770x = 207,010,440,256
  5. Step 5: Solve for x
    x = 207,010,440,256/296,770
  6. Step 6: Final answer
    x = 697,545.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.