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Finding the Third Proportional to 473,764 and 703,430

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Solution

The third proportional to 473,764 and 703,430 is: 1,044,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,764 : 703,430 = 703,430 : x
  2. Step 2: Convert to fraction form
    473,764/703,430 = 703,430/x
  3. Step 3: Cross multiply
    473,764x = 703,430 × 703,430
  4. Step 4: Simplify right side
    473,764x = 494,813,764,900
  5. Step 5: Solve for x
    x = 494,813,764,900/473,764
  6. Step 6: Final answer
    x = 1,044,430.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.