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Finding the Third Proportional to 535,904 and 714,392

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Solution

The third proportional to 535,904 and 714,392 is: 952,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,904 : 714,392 = 714,392 : x
  2. Step 2: Convert to fraction form
    535,904/714,392 = 714,392/x
  3. Step 3: Cross multiply
    535,904x = 714,392 × 714,392
  4. Step 4: Simplify right side
    535,904x = 510,355,929,664
  5. Step 5: Solve for x
    x = 510,355,929,664/535,904
  6. Step 6: Final answer
    x = 952,327.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.