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Finding the Third Proportional to 477,752 and 722,804

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Solution

The third proportional to 477,752 and 722,804 is: 1,093,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,752 : 722,804 = 722,804 : x
  2. Step 2: Convert to fraction form
    477,752/722,804 = 722,804/x
  3. Step 3: Cross multiply
    477,752x = 722,804 × 722,804
  4. Step 4: Simplify right side
    477,752x = 522,445,622,416
  5. Step 5: Solve for x
    x = 522,445,622,416/477,752
  6. Step 6: Final answer
    x = 1,093,549.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.