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Finding the Third Proportional to 502,783 and 703,295

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Solution

The third proportional to 502,783 and 703,295 is: 983,772.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,783 : 703,295 = 703,295 : x
  2. Step 2: Convert to fraction form
    502,783/703,295 = 703,295/x
  3. Step 3: Cross multiply
    502,783x = 703,295 × 703,295
  4. Step 4: Simplify right side
    502,783x = 494,623,857,025
  5. Step 5: Solve for x
    x = 494,623,857,025/502,783
  6. Step 6: Final answer
    x = 983,772.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.