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Finding the Third Proportional to 295,673.50 and 463,291

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Solution

The third proportional to 295,673.50 and 463,291 is: 725,930.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,673.50 : 463,291 = 463,291 : x
  2. Step 2: Convert to fraction form
    295,673.50/463,291 = 463,291/x
  3. Step 3: Cross multiply
    295,673.50x = 463,291 × 463,291
  4. Step 4: Simplify right side
    295,673.50x = 214,638,550,681
  5. Step 5: Solve for x
    x = 214,638,550,681/295,673.50
  6. Step 6: Final answer
    x = 725,930.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.