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Finding the Third Proportional to 442,803 and 704,931

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Solution

The third proportional to 442,803 and 704,931 is: 1,122,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,803 : 704,931 = 704,931 : x
  2. Step 2: Convert to fraction form
    442,803/704,931 = 704,931/x
  3. Step 3: Cross multiply
    442,803x = 704,931 × 704,931
  4. Step 4: Simplify right side
    442,803x = 496,927,714,761
  5. Step 5: Solve for x
    x = 496,927,714,761/442,803
  6. Step 6: Final answer
    x = 1,122,232.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.