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Finding the Third Proportional to 535,883 and 714,369

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Solution

The third proportional to 535,883 and 714,369 is: 952,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,883 : 714,369 = 714,369 : x
  2. Step 2: Convert to fraction form
    535,883/714,369 = 714,369/x
  3. Step 3: Cross multiply
    535,883x = 714,369 × 714,369
  4. Step 4: Simplify right side
    535,883x = 510,323,068,161
  5. Step 5: Solve for x
    x = 510,323,068,161/535,883
  6. Step 6: Final answer
    x = 952,303.15

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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.