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Finding the Third Proportional to 264,300.47 and 402,646.78

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Solution

The third proportional to 264,300.47 and 402,646.78 is: 613,409.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,300.47 : 402,646.78 = 402,646.78 : x
  2. Step 2: Convert to fraction form
    264,300.47/402,646.78 = 402,646.78/x
  3. Step 3: Cross multiply
    264,300.47x = 402,646.78 × 402,646.78
  4. Step 4: Simplify right side
    264,300.47x = 162,124,430,450.99
  5. Step 5: Solve for x
    x = 162,124,430,450.99/264,300.47
  6. Step 6: Final answer
    x = 613,409.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.