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Finding the Third Proportional to 502,784 and 703,297

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Solution

The third proportional to 502,784 and 703,297 is: 983,775.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,784 : 703,297 = 703,297 : x
  2. Step 2: Convert to fraction form
    502,784/703,297 = 703,297/x
  3. Step 3: Cross multiply
    502,784x = 703,297 × 703,297
  4. Step 4: Simplify right side
    502,784x = 494,626,670,209
  5. Step 5: Solve for x
    x = 494,626,670,209/502,784
  6. Step 6: Final answer
    x = 983,775.68

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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.