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Finding the Third Proportional to 351,426 and 535,410

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Solution

The third proportional to 351,426 and 535,410 is: 815,716.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,426 : 535,410 = 535,410 : x
  2. Step 2: Convert to fraction form
    351,426/535,410 = 535,410/x
  3. Step 3: Cross multiply
    351,426x = 535,410 × 535,410
  4. Step 4: Simplify right side
    351,426x = 286,663,868,100
  5. Step 5: Solve for x
    x = 286,663,868,100/351,426
  6. Step 6: Final answer
    x = 815,716.16

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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.