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Finding the Third Proportional to 353,574 and 535,497

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Solution

The third proportional to 353,574 and 535,497 is: 811,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,574 : 535,497 = 535,497 : x
  2. Step 2: Convert to fraction form
    353,574/535,497 = 535,497/x
  3. Step 3: Cross multiply
    353,574x = 535,497 × 535,497
  4. Step 4: Simplify right side
    353,574x = 286,757,037,009
  5. Step 5: Solve for x
    x = 286,757,037,009/353,574
  6. Step 6: Final answer
    x = 811,024.11

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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.