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Finding the Third Proportional to 343,952 and 531,488

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Solution

The third proportional to 343,952 and 531,488 is: 821,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,952 : 531,488 = 531,488 : x
  2. Step 2: Convert to fraction form
    343,952/531,488 = 531,488/x
  3. Step 3: Cross multiply
    343,952x = 531,488 × 531,488
  4. Step 4: Simplify right side
    343,952x = 282,479,494,144
  5. Step 5: Solve for x
    x = 282,479,494,144/343,952
  6. Step 6: Final answer
    x = 821,275.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.