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Finding the Third Proportional to 294,758 and 631,575

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Solution

The third proportional to 294,758 and 631,575 is: 1,353,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,758 : 631,575 = 631,575 : x
  2. Step 2: Convert to fraction form
    294,758/631,575 = 631,575/x
  3. Step 3: Cross multiply
    294,758x = 631,575 × 631,575
  4. Step 4: Simplify right side
    294,758x = 398,886,980,625
  5. Step 5: Solve for x
    x = 398,886,980,625/294,758
  6. Step 6: Final answer
    x = 1,353,269.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.