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Finding the Third Proportional to 466,702 and 704,330

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Solution

The third proportional to 466,702 and 704,330 is: 1,062,949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,702 : 704,330 = 704,330 : x
  2. Step 2: Convert to fraction form
    466,702/704,330 = 704,330/x
  3. Step 3: Cross multiply
    466,702x = 704,330 × 704,330
  4. Step 4: Simplify right side
    466,702x = 496,080,748,900
  5. Step 5: Solve for x
    x = 496,080,748,900/466,702
  6. Step 6: Final answer
    x = 1,062,949.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.