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Finding the Third Proportional to 476,642 and 698,925

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Solution

The third proportional to 476,642 and 698,925 is: 1,024,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,642 : 698,925 = 698,925 : x
  2. Step 2: Convert to fraction form
    476,642/698,925 = 698,925/x
  3. Step 3: Cross multiply
    476,642x = 698,925 × 698,925
  4. Step 4: Simplify right side
    476,642x = 488,496,155,625
  5. Step 5: Solve for x
    x = 488,496,155,625/476,642
  6. Step 6: Final answer
    x = 1,024,870.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.