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Finding the Third Proportional to 477,984 and 733,688

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Solution

The third proportional to 477,984 and 733,688 is: 1,126,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,984 : 733,688 = 733,688 : x
  2. Step 2: Convert to fraction form
    477,984/733,688 = 733,688/x
  3. Step 3: Cross multiply
    477,984x = 733,688 × 733,688
  4. Step 4: Simplify right side
    477,984x = 538,298,081,344
  5. Step 5: Solve for x
    x = 538,298,081,344/477,984
  6. Step 6: Final answer
    x = 1,126,184.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.