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Finding the Third Proportional to 621,804 and 960,258

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Solution

The third proportional to 621,804 and 960,258 is: 1,482,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,804 : 960,258 = 960,258 : x
  2. Step 2: Convert to fraction form
    621,804/960,258 = 960,258/x
  3. Step 3: Cross multiply
    621,804x = 960,258 × 960,258
  4. Step 4: Simplify right side
    621,804x = 922,095,426,564
  5. Step 5: Solve for x
    x = 922,095,426,564/621,804
  6. Step 6: Final answer
    x = 1,482,935.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.