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Finding the Third Proportional to 294,564 and 457,152

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Solution

The third proportional to 294,564 and 457,152 is: 709,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,564 : 457,152 = 457,152 : x
  2. Step 2: Convert to fraction form
    294,564/457,152 = 457,152/x
  3. Step 3: Cross multiply
    294,564x = 457,152 × 457,152
  4. Step 4: Simplify right side
    294,564x = 208,987,951,104
  5. Step 5: Solve for x
    x = 208,987,951,104/294,564
  6. Step 6: Final answer
    x = 709,482.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.