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Finding the Third Proportional to 457,038 and 696,273

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Solution

The third proportional to 457,038 and 696,273 is: 1,060,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,038 : 696,273 = 696,273 : x
  2. Step 2: Convert to fraction form
    457,038/696,273 = 696,273/x
  3. Step 3: Cross multiply
    457,038x = 696,273 × 696,273
  4. Step 4: Simplify right side
    457,038x = 484,796,090,529
  5. Step 5: Solve for x
    x = 484,796,090,529/457,038
  6. Step 6: Final answer
    x = 1,060,734.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.