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Finding the Third Proportional to 492,982 and 704,480

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Solution

The third proportional to 492,982 and 704,480 is: 1,006,714.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,982 : 704,480 = 704,480 : x
  2. Step 2: Convert to fraction form
    492,982/704,480 = 704,480/x
  3. Step 3: Cross multiply
    492,982x = 704,480 × 704,480
  4. Step 4: Simplify right side
    492,982x = 496,292,070,400
  5. Step 5: Solve for x
    x = 496,292,070,400/492,982
  6. Step 6: Final answer
    x = 1,006,714.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.