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Finding the Third Proportional to 292,310 and 624,148

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Solution

The third proportional to 292,310 and 624,148 is: 1,332,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,310 : 624,148 = 624,148 : x
  2. Step 2: Convert to fraction form
    292,310/624,148 = 624,148/x
  3. Step 3: Cross multiply
    292,310x = 624,148 × 624,148
  4. Step 4: Simplify right side
    292,310x = 389,560,725,904
  5. Step 5: Solve for x
    x = 389,560,725,904/292,310
  6. Step 6: Final answer
    x = 1,332,697.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.