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Finding the Third Proportional to 432,545 and 949,294

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Solution

The third proportional to 432,545 and 949,294 is: 2,083,388.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,545 : 949,294 = 949,294 : x
  2. Step 2: Convert to fraction form
    432,545/949,294 = 949,294/x
  3. Step 3: Cross multiply
    432,545x = 949,294 × 949,294
  4. Step 4: Simplify right side
    432,545x = 901,159,098,436
  5. Step 5: Solve for x
    x = 901,159,098,436/432,545
  6. Step 6: Final answer
    x = 2,083,388.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.