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Finding the Third Proportional to 443,528 and 949,264

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Solution

The third proportional to 443,528 and 949,264 is: 2,031,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,528 : 949,264 = 949,264 : x
  2. Step 2: Convert to fraction form
    443,528/949,264 = 949,264/x
  3. Step 3: Cross multiply
    443,528x = 949,264 × 949,264
  4. Step 4: Simplify right side
    443,528x = 901,102,141,696
  5. Step 5: Solve for x
    x = 901,102,141,696/443,528
  6. Step 6: Final answer
    x = 2,031,669.12

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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.