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Finding the Third Proportional to 458,929.50 and 972,564

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Solution

The third proportional to 458,929.50 and 972,564 is: 2,061,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,929.50 : 972,564 = 972,564 : x
  2. Step 2: Convert to fraction form
    458,929.50/972,564 = 972,564/x
  3. Step 3: Cross multiply
    458,929.50x = 972,564 × 972,564
  4. Step 4: Simplify right side
    458,929.50x = 945,880,734,096
  5. Step 5: Solve for x
    x = 945,880,734,096/458,929.50
  6. Step 6: Final answer
    x = 2,061,058.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.