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Finding the Third Proportional to 459,560 and 673,320

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Solution

The third proportional to 459,560 and 673,320 is: 986,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,560 : 673,320 = 673,320 : x
  2. Step 2: Convert to fraction form
    459,560/673,320 = 673,320/x
  3. Step 3: Cross multiply
    459,560x = 673,320 × 673,320
  4. Step 4: Simplify right side
    459,560x = 453,359,822,400
  5. Step 5: Solve for x
    x = 453,359,822,400/459,560
  6. Step 6: Final answer
    x = 986,508.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.