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Finding the Third Proportional to 364,502 and 513,070

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Solution

The third proportional to 364,502 and 513,070 is: 722,193.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,502 : 513,070 = 513,070 : x
  2. Step 2: Convert to fraction form
    364,502/513,070 = 513,070/x
  3. Step 3: Cross multiply
    364,502x = 513,070 × 513,070
  4. Step 4: Simplify right side
    364,502x = 263,240,824,900
  5. Step 5: Solve for x
    x = 263,240,824,900/364,502
  6. Step 6: Final answer
    x = 722,193.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.