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Finding the Third Proportional to 477,544 and 722,465

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Solution

The third proportional to 477,544 and 722,465 is: 1,093,000.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,544 : 722,465 = 722,465 : x
  2. Step 2: Convert to fraction form
    477,544/722,465 = 722,465/x
  3. Step 3: Cross multiply
    477,544x = 722,465 × 722,465
  4. Step 4: Simplify right side
    477,544x = 521,955,676,225
  5. Step 5: Solve for x
    x = 521,955,676,225/477,544
  6. Step 6: Final answer
    x = 1,093,000.18

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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.