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Finding the Third Proportional to 477,232 and 699,807

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Solution

The third proportional to 477,232 and 699,807 is: 1,026,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,232 : 699,807 = 699,807 : x
  2. Step 2: Convert to fraction form
    477,232/699,807 = 699,807/x
  3. Step 3: Cross multiply
    477,232x = 699,807 × 699,807
  4. Step 4: Simplify right side
    477,232x = 489,729,837,249
  5. Step 5: Solve for x
    x = 489,729,837,249/477,232
  6. Step 6: Final answer
    x = 1,026,188.18

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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.