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Finding the Third Proportional to 310,561 and 668,637

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Solution

The third proportional to 310,561 and 668,637 is: 1,439,573.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,561 : 668,637 = 668,637 : x
  2. Step 2: Convert to fraction form
    310,561/668,637 = 668,637/x
  3. Step 3: Cross multiply
    310,561x = 668,637 × 668,637
  4. Step 4: Simplify right side
    310,561x = 447,075,437,769
  5. Step 5: Solve for x
    x = 447,075,437,769/310,561
  6. Step 6: Final answer
    x = 1,439,573.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.