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Finding the Third Proportional to 507,983 and 696,582

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Solution

The third proportional to 507,983 and 696,582 is: 955,202.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,983 : 696,582 = 696,582 : x
  2. Step 2: Convert to fraction form
    507,983/696,582 = 696,582/x
  3. Step 3: Cross multiply
    507,983x = 696,582 × 696,582
  4. Step 4: Simplify right side
    507,983x = 485,226,482,724
  5. Step 5: Solve for x
    x = 485,226,482,724/507,983
  6. Step 6: Final answer
    x = 955,202.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.