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Finding the Third Proportional to 475,242 and 691,461

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Solution

The third proportional to 475,242 and 691,461 is: 1,006,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,242 : 691,461 = 691,461 : x
  2. Step 2: Convert to fraction form
    475,242/691,461 = 691,461/x
  3. Step 3: Cross multiply
    475,242x = 691,461 × 691,461
  4. Step 4: Simplify right side
    475,242x = 478,118,314,521
  5. Step 5: Solve for x
    x = 478,118,314,521/475,242
  6. Step 6: Final answer
    x = 1,006,052.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.