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Finding the Third Proportional to 443,232 and 912,600

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Solution

The third proportional to 443,232 and 912,600 is: 1,879,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,232 : 912,600 = 912,600 : x
  2. Step 2: Convert to fraction form
    443,232/912,600 = 912,600/x
  3. Step 3: Cross multiply
    443,232x = 912,600 × 912,600
  4. Step 4: Simplify right side
    443,232x = 832,838,760,000
  5. Step 5: Solve for x
    x = 832,838,760,000/443,232
  6. Step 6: Final answer
    x = 1,879,013.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.