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Finding the Third Proportional to 476,718 and 699,492

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Solution

The third proportional to 476,718 and 699,492 is: 1,026,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,718 : 699,492 = 699,492 : x
  2. Step 2: Convert to fraction form
    476,718/699,492 = 699,492/x
  3. Step 3: Cross multiply
    476,718x = 699,492 × 699,492
  4. Step 4: Simplify right side
    476,718x = 489,289,058,064
  5. Step 5: Solve for x
    x = 489,289,058,064/476,718
  6. Step 6: Final answer
    x = 1,026,370.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.