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Finding the Third Proportional to 459,258.50 and 973,269

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Solution

The third proportional to 459,258.50 and 973,269 is: 2,062,569.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,258.50 : 973,269 = 973,269 : x
  2. Step 2: Convert to fraction form
    459,258.50/973,269 = 973,269/x
  3. Step 3: Cross multiply
    459,258.50x = 973,269 × 973,269
  4. Step 4: Simplify right side
    459,258.50x = 947,252,546,361
  5. Step 5: Solve for x
    x = 947,252,546,361/459,258.50
  6. Step 6: Final answer
    x = 2,062,569.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.