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Finding the Third Proportional to 353,434 and 535,294

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Solution

The third proportional to 353,434 and 535,294 is: 810,730.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,434 : 535,294 = 535,294 : x
  2. Step 2: Convert to fraction form
    353,434/535,294 = 535,294/x
  3. Step 3: Cross multiply
    353,434x = 535,294 × 535,294
  4. Step 4: Simplify right side
    353,434x = 286,539,666,436
  5. Step 5: Solve for x
    x = 286,539,666,436/353,434
  6. Step 6: Final answer
    x = 810,730.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.