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Finding the Third Proportional to 473,765 and 703,431.50

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Solution

The third proportional to 473,765 and 703,431.50 is: 1,044,433.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,765 : 703,431.50 = 703,431.50 : x
  2. Step 2: Convert to fraction form
    473,765/703,431.50 = 703,431.50/x
  3. Step 3: Cross multiply
    473,765x = 703,431.50 × 703,431.50
  4. Step 4: Simplify right side
    473,765x = 494,815,875,192.25
  5. Step 5: Solve for x
    x = 494,815,875,192.25/473,765
  6. Step 6: Final answer
    x = 1,044,433.16

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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.