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Finding the Third Proportional to 363,552 and 777,648

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Solution

The third proportional to 363,552 and 777,648 is: 1,663,411.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,552 : 777,648 = 777,648 : x
  2. Step 2: Convert to fraction form
    363,552/777,648 = 777,648/x
  3. Step 3: Cross multiply
    363,552x = 777,648 × 777,648
  4. Step 4: Simplify right side
    363,552x = 604,736,411,904
  5. Step 5: Solve for x
    x = 604,736,411,904/363,552
  6. Step 6: Final answer
    x = 1,663,411.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.