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Finding the Third Proportional to 488,334.50 and 725,417

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Solution

The third proportional to 488,334.50 and 725,417 is: 1,077,601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,334.50 : 725,417 = 725,417 : x
  2. Step 2: Convert to fraction form
    488,334.50/725,417 = 725,417/x
  3. Step 3: Cross multiply
    488,334.50x = 725,417 × 725,417
  4. Step 4: Simplify right side
    488,334.50x = 526,229,823,889
  5. Step 5: Solve for x
    x = 526,229,823,889/488,334.50
  6. Step 6: Final answer
    x = 1,077,601.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.