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Finding the Third Proportional to 293,574 and 453,624

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Solution

The third proportional to 293,574 and 453,624 is: 700,929.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,574 : 453,624 = 453,624 : x
  2. Step 2: Convert to fraction form
    293,574/453,624 = 453,624/x
  3. Step 3: Cross multiply
    293,574x = 453,624 × 453,624
  4. Step 4: Simplify right side
    293,574x = 205,774,733,376
  5. Step 5: Solve for x
    x = 205,774,733,376/293,574
  6. Step 6: Final answer
    x = 700,929.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.