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Finding the Third Proportional to 294,765 and 631,587

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Solution

The third proportional to 294,765 and 631,587 is: 1,353,288.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,765 : 631,587 = 631,587 : x
  2. Step 2: Convert to fraction form
    294,765/631,587 = 631,587/x
  3. Step 3: Cross multiply
    294,765x = 631,587 × 631,587
  4. Step 4: Simplify right side
    294,765x = 398,902,138,569
  5. Step 5: Solve for x
    x = 398,902,138,569/294,765
  6. Step 6: Final answer
    x = 1,353,288.68

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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.