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Finding the Third Proportional to 285,864 and 453,060

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Solution

The third proportional to 285,864 and 453,060 is: 718,045.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,864 : 453,060 = 453,060 : x
  2. Step 2: Convert to fraction form
    285,864/453,060 = 453,060/x
  3. Step 3: Cross multiply
    285,864x = 453,060 × 453,060
  4. Step 4: Simplify right side
    285,864x = 205,263,363,600
  5. Step 5: Solve for x
    x = 205,263,363,600/285,864
  6. Step 6: Final answer
    x = 718,045.52

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.