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Finding the Third Proportional to 459,552 and 673,308

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Solution

The third proportional to 459,552 and 673,308 is: 986,490.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,552 : 673,308 = 673,308 : x
  2. Step 2: Convert to fraction form
    459,552/673,308 = 673,308/x
  3. Step 3: Cross multiply
    459,552x = 673,308 × 673,308
  4. Step 4: Simplify right side
    459,552x = 453,343,662,864
  5. Step 5: Solve for x
    x = 453,343,662,864/459,552
  6. Step 6: Final answer
    x = 986,490.46

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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.