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Finding the Third Proportional to 459,254.50 and 973,261

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Solution

The third proportional to 459,254.50 and 973,261 is: 2,062,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,254.50 : 973,261 = 973,261 : x
  2. Step 2: Convert to fraction form
    459,254.50/973,261 = 973,261/x
  3. Step 3: Cross multiply
    459,254.50x = 973,261 × 973,261
  4. Step 4: Simplify right side
    459,254.50x = 947,236,974,121
  5. Step 5: Solve for x
    x = 947,236,974,121/459,254.50
  6. Step 6: Final answer
    x = 2,062,553.50

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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.