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Finding the Third Proportional to 636,705 and 963,258

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Solution

The third proportional to 636,705 and 963,258 is: 1,457,293.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,705 : 963,258 = 963,258 : x
  2. Step 2: Convert to fraction form
    636,705/963,258 = 963,258/x
  3. Step 3: Cross multiply
    636,705x = 963,258 × 963,258
  4. Step 4: Simplify right side
    636,705x = 927,865,974,564
  5. Step 5: Solve for x
    x = 927,865,974,564/636,705
  6. Step 6: Final answer
    x = 1,457,293.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.