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Finding the Third Proportional to 459,310 and 675,357

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Solution

The third proportional to 459,310 and 675,357 is: 993,026.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,310 : 675,357 = 675,357 : x
  2. Step 2: Convert to fraction form
    459,310/675,357 = 675,357/x
  3. Step 3: Cross multiply
    459,310x = 675,357 × 675,357
  4. Step 4: Simplify right side
    459,310x = 456,107,077,449
  5. Step 5: Solve for x
    x = 456,107,077,449/459,310
  6. Step 6: Final answer
    x = 993,026.66

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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.