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Finding the Third Proportional to 572,448.94 and 777,432.94

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Solution

The third proportional to 572,448.94 and 777,432.94 is: 1,055,818.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,448.94 : 777,432.94 = 777,432.94 : x
  2. Step 2: Convert to fraction form
    572,448.94/777,432.94 = 777,432.94/x
  3. Step 3: Cross multiply
    572,448.94x = 777,432.94 × 777,432.94
  4. Step 4: Simplify right side
    572,448.94x = 604,401,972,309.88
  5. Step 5: Solve for x
    x = 604,401,972,309.88/572,448.94
  6. Step 6: Final answer
    x = 1,055,818.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.