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Finding the Third Proportional to 294,952 and 451,023

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Solution

The third proportional to 294,952 and 451,023 is: 689,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,952 : 451,023 = 451,023 : x
  2. Step 2: Convert to fraction form
    294,952/451,023 = 451,023/x
  3. Step 3: Cross multiply
    294,952x = 451,023 × 451,023
  4. Step 4: Simplify right side
    294,952x = 203,421,746,529
  5. Step 5: Solve for x
    x = 203,421,746,529/294,952
  6. Step 6: Final answer
    x = 689,677.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.