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Finding the Third Proportional to 472,661 and 707,341

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Solution

The third proportional to 472,661 and 707,341 is: 1,058,541.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,661 : 707,341 = 707,341 : x
  2. Step 2: Convert to fraction form
    472,661/707,341 = 707,341/x
  3. Step 3: Cross multiply
    472,661x = 707,341 × 707,341
  4. Step 4: Simplify right side
    472,661x = 500,331,290,281
  5. Step 5: Solve for x
    x = 500,331,290,281/472,661
  6. Step 6: Final answer
    x = 1,058,541.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.