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Finding the Third Proportional to 442,818 and 704,953

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Solution

The third proportional to 442,818 and 704,953 is: 1,122,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,818 : 704,953 = 704,953 : x
  2. Step 2: Convert to fraction form
    442,818/704,953 = 704,953/x
  3. Step 3: Cross multiply
    442,818x = 704,953 × 704,953
  4. Step 4: Simplify right side
    442,818x = 496,958,732,209
  5. Step 5: Solve for x
    x = 496,958,732,209/442,818
  6. Step 6: Final answer
    x = 1,122,264.07

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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.