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Finding the Third Proportional to 656,379 and 983,475

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Solution

The third proportional to 656,379 and 983,475 is: 1,473,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,379 : 983,475 = 983,475 : x
  2. Step 2: Convert to fraction form
    656,379/983,475 = 983,475/x
  3. Step 3: Cross multiply
    656,379x = 983,475 × 983,475
  4. Step 4: Simplify right side
    656,379x = 967,223,075,625
  5. Step 5: Solve for x
    x = 967,223,075,625/656,379
  6. Step 6: Final answer
    x = 1,473,574.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.